2022

• Lie, Knut-Andreas; Krogstad, Stein. (2022) Comparison of two different types of reduced graph-based reservoir models: Interwell networks (GPSNet) versus aggregated coarse-grid networks (CGNet). Journal of Petroleum Science and Engineering. volum 221.
  Vitenskapelig artikkel
• Lie, Knut-Andreas; Krogstad, Stein. (2022) Data-Driven Modelling with Coarse-Grid Network Models. Proceedings of the European Conference on the Mathematics of Geological Reservoirs (ECMOR 2022).
  Vitenskapelig kapittel/artikkel
• Møyner, Olav; Rasmussen, Atgeirr Flø; Klemetsdal, Øystein; Nilsen, Halvor Møll; Arthur, Moncorgé; Lie, Knut-Andreas. (2022) Nonlinear Domain Decomposition Preconditioning for Robust and Efficient Field-Scale Simulation of Subsurface Flow. Proceedings of the European Conference on the Mathematics of Geological Reservoirs (ECMOR 2022).
  Vitenskapelig kapittel/artikkel
• Oliveira, Gustavo P.; Rodrigues, Thiago N. E.; Lie, Knut-Andreas. (2022) GAWPS: A MRST-based module for wellbore profiling and graphical analysis of flow units. Advances in Geo-Energy Research. volum 6 (1).
  Vitenskapelig artikkel

2021

• Berge, Runar Lie; Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas. (2021) Unstructured PEBI Grids Conforming to Lower-Dimensional Objects. Advanced Modeling with the MATLAB Reservoir Simulation Toolbox.
  Vitenskapelig kapittel/artikkel
• Borregales Reveron, Manuel Antonio; Holm, Håvard Heitlo; Møyner, Olav; Krogstad, Stein; Lie, Knut-Andreas. (2021) Numerical Comparison Between ES-MDA and Gradient-Based Optimization for History Matching of Reduced Reservoir Models. SPE Reservoir Simulation Conference, On-Demand, October 2021.
  Vitenskapelig kapittel/artikkel
• Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas. (2021) Implicit Discontinuous Galerkin Methods for Transport Equations in Porous Media. Advanced Modeling with the MATLAB Reservoir Simulation Toolbox.
  Vitenskapelig kapittel/artikkel
• Klemetsdal, Øystein Strengehagen; Moncorgé, Arthur; Møyner, Olav; Lie, Knut-Andreas. (2021) A numerical study of the additive Schwarz preconditioned exact Newton method (ASPEN) as a nonlinear preconditioner for immiscible and compositional porous media flow. Computational Geosciences.
  Vitenskapelig artikkel
• Klemetsdal, Øystein Strengehagen; Moncorgé, Arthur; Nilsen, Halvor Møll; Møyner, Olav; Lie, Knut-Andreas. (2021) An adaptive sequential fully implicit domain-decomposition solver. SPE Journal.
  Vitenskapelig artikkel
• Klemetsdal, Øystein Strengehagen; Møyner, Olav; Moncorgé, Arthur; Nilsen, Halvor Møll; Lie, Knut-Andreas. (2021) High-Resolution Compositional Reservoir Simulation with Dynamic Coarsening and Local Timestepping for Unstructured Grids. SPE Journal. volum 26 (6).
  Vitenskapelig artikkel
• Lie, Knut-Andreas; Møyner, Olav. (2021) Advanced Modeling with the MATLAB Reservoir Simulation Toolbox. Cambridge University Press. 2021. ISBN 9781009019781.
  Vitenskapelig antologi
• Lie, Knut-Andreas; Møyner, Olav. (2021) Multiscale Pressure Solvers for Stratigraphic and Polytopal Grids. Advanced Modeling with the MATLAB Reservoir Simulation Toolbox.
  Vitenskapelig kapittel/artikkel
• Lie, Knut-Andreas; Møyner, Olav. (2021) Preface. Advanced Modeling with the MATLAB Reservoir Simulation Toolbox.
  Forord
• Ma, Shuai; Ju, Binshan; Zhao, Lin; Lie, Knut-Andreas; Dong, Yintao; Zhang, Qilong; Tian, Yapeng. (2021) Embedded discrete fracture modeling: flow diagnostics, non-Darcy flow, and well placement optimization. Journal of Petroleum Science and Engineering. volum 208 (C).
  Vitenskapelig artikkel
• Raynaud, Xavier; Pizzolato, Alberto; Johansson, August; Caresani, Federica; Ferrari, Andrea; Møyner, Olav; Nilsen, Halvor Møll; Cominelli, Alberto; Lie, Knut-Andreas. (2021) Toward accurate reservoir simulations on unstructured grids: design of simple error estimators and critical benchmarking of consistent discretization methods for practical implementation. SPE Journal. volum 26 (6).
  Vitenskapelig artikkel
• Sun, Xin; Lie, Knut-Andreas; Bao, Kai. (2021) Using State Functions and MRST’s AD-OO Framework to Implement Simulators for Chemical EOR. Advanced Modeling with the MATLAB Reservoir Simulation Toolbox.
  Vitenskapelig kapittel/artikkel
• Watson, Francesca; Krogstad, Stein; Lie, Knut-Andreas. (2021) The use of flow diagnostics to rank model ensembles. Computational Geosciences.
  Vitenskapelig artikkel

2020

• Borregales Reveron, Manuel Antonio; Møyner, Olav; Krogstad, Stein; Lie, Knut-Andreas. (2020) Data-Driven Models Based on Flow Diagnostics. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery, 14-17 September 2020.
  Vitenskapelig kapittel/artikkel
• Klemetsdal, Øystein Strengehagen; Lie, Knut-Andreas. (2020) Dynamic Coarsening and Local Reordered Nonlinear Solvers for Simulating Transport in Porous Media. SPE Journal. volum 25 (04).
  Vitenskapelig artikkel
• Klemetsdal, Øystein Strengehagen; Moncorgé, Arthur; Møyner, Olav; Lie, Knut-Andreas. (2020) Additive Schwarz Preconditioned Exact Newton Method as a Nonlinear Preconditioner for Multiphase Porous Media Flow. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery, 14-17 September 2020.
  Vitenskapelig kapittel/artikkel
• Klemetsdal, Øystein Strengehagen; Møyner, Olav; Raynaud, Xavier; Lie, Knut-Andreas. (2020) A Comparison of Consistent Discretizations for Elliptic Problems on Polyhedral Grids. Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples.
  Vitenskapelig kapittel/artikkel
• Lie, Knut-Andreas; Krogstad, Stein; Watson, Francesca. (2020) User Guide to Flow Diagnostics Postprocessing - Simulations in MRST and ECLIPSE Output Format. 2020. ISBN 978-82-14-06438-4.
  Rapport
• Lie, Knut-Andreas; Krogstad, Stein; Watson, Francesca; Borregales Reveron, Manuel Antonio. (2020) User Guide to Flow Diagnostics in MRST - Flow Diagnostics Preprocessors for Model Ensembles. 2020. ISBN 978-82-14-06437-7.
  Rapport
• Linga, Gaute; Møyner, Olav; Nilsen, Halvor Møll; Arthur, Moncorgé; Lie, Knut-Andreas. (2020) An implicit local time-stepping method based on cell reordering for multiphase flow in porous media. Journal of Computational Physics: X. volum 6.
  Vitenskapelig artikkel
• Nilsen, Halvor Møll; Arthur, Moncorgé; Bao, Kai; Møyner, Olav; Lie, Knut-Andreas; Brodtkorb, Andre. (2020) Comparison between algebraic multigrid and multilevel multiscale methods for reservoir simulation. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery, 14-17 September 2020.
  Vitenskapelig kapittel/artikkel
• Rasmussen, Atgeirr Flø; Sandve, Tor Harald; Bao, Kai; Lauser, Andreas; Hove, Joakim; Skaflestad, Bård; Klöfkorn, Robert; Blatt, Markus; Rustad, Alf Birger; Sævareid, Ove; Lie, Knut-Andreas; Thune, Andreas. (2020) The Open Porous Media Flow Reservoir Simulator. Computers and Mathematics with Applications. volum 81.
  Vitenskapelig artikkel
• Watson, Francesca; Krogstad, Stein; Lie, Knut-Andreas. (2020) Flow diagnostics for model ensembles. ECMOR XVII - 17th European Conference on the Mathematics of Oil Recovery, 14-17 September 2020.
  Vitenskapelig kapittel/artikkel

2019

• Guion, Alexandre Nicolas; Skaflestad, Bård; Lie, Knut-Andreas; Wu, Xiao-Hui. (2019) Validation of a non-uniform coarsening and upscaling framework. SPE Reservoir Simulation Conference, 10-11 April, Galveston, Texas, USA.
  Vitenskapelig kapittel/artikkel
• Klemetsdal, Øystein Strengehagen; Rasmussen, Atgeirr Flø; Møyner, Olav; Lie, Knut-Andreas. (2019) Efficient reordered nonlinear Gauss–Seidel solvers with higher order for black-oil models. Computational Geosciences.
  Vitenskapelig artikkel
• Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2019) Accelerating multiscale simulation of complex geomodels by use of dynamically adapted basis functions. Computational Geosciences.
  Vitenskapelig artikkel
• Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2019) Implicit high-resolution compositional simulation with optimal ordering of unknowns and adaptive spatial refinement. SPE Reservoir Simulation Conference, 10-11 April, Galveston, Texas, USA.
  Vitenskapelig kapittel/artikkel
• Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2019) Robust nonlinear Newton solver with adaptive interface-localized trust regions. SPE Journal. volum 24 (4).
  Vitenskapelig artikkel
• Lie, Knut-Andreas. (2019) An Introduction to Reservoir Simulation Using MATLAB/GNU Octave: User Guide for the MATLAB Reservoir Simulation Toolbox (MRST). Cambridge University Press. 2019. ISBN 9781108492430.
  Vitenskapelig monografi
• Lie, Knut-Andreas. (2019) Executive summary. SPE Journal. volum 24 (4).
  Leder
• Lie, Knut-Andreas. (2019) Executive summary. SPE Journal. volum 24 (2).
  Leder
• Lie, Knut-Andreas; Mykkeltvedt, Trine Solberg; Møyner, Olav. (2019) A fully implicit WENO scheme on stratigraphic and unstructured polyhedral grids. Computational Geosciences.
  Vitenskapelig artikkel
• Marefat, Hassan Ali; Ashjari Aghdam, Muhammad A; Lie, Knut-Andreas. (2019) Preserving vorticity improves the accuracy of multiscale solvers. Journal of Petroleum Science and Engineering. volum 182.
  Vitenskapelig artikkel

2018

• Allen, Rebecca; Nilsen, Halvor Møll; Lie, Knut-Andreas; Møyner, Olav; Andersen, Odd. (2018) Using simplified methods to explore the impact of parameter uncertainty on CO2 storage estimates with application to the Norwegian Continental Shelf. International Journal of Greenhouse Gas Control. volum 75.
  Vitenskapelig artikkel
• Berge, Runar Lie; Klemetsdal, Øystein; Lie, Knut-Andreas. (2018) Unstructured Voronoi grids conforming to lower-dimensional objects. Computational Geosciences. volum 23 (1).
  Vitenskapelig artikkel
• Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2018) Use of dynamically adapted basis functions to accelerate multiscale simulation of complex geomodels. ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 3–6 September 2018, Barcelona, Spain.
  Vitenskapelig kapittel/artikkel
• Klemetsdal, Øystein; Rasmussen, Atgeirr Flø; Møyner, Olav; Lie, Knut-Andreas. (2018) Nonlinear Gauss-Seidel solvers with higher order for black-oil models. ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 3–6 September 2018, Barcelona, Spain.
  Vitenskapelig kapittel/artikkel
• Lie, Knut-Andreas. (2018) Executive summary. SPE Journal. volum 23 (6).
  Leder
• Lie, Knut-Andreas. (2018) Executive summary. SPE Journal. volum 23 (04).
  Leder
• Lie, Knut-Andreas. (2018) Executive summary. SPE Journal. volum 23 (02).
  Leder
• Lie, Knut-Andreas. (2018) On Holden's seven guidelines for scientific computing and development of open-source community software. Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume.
  Vitenskapelig kapittel/artikkel
• Lie, Knut-Andreas; Mykkeltvedt, Trine Solberg; Møyner, Olav. (2018) Fully implicit WENO schemes on stratigraphic and fully unstructured grids. ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, 3–6 September 2018, Barcelona, Spain.
  Vitenskapelig kapittel/artikkel
• Toft, Raymond; Lie, Knut-Andreas; Møyner, Olav. (2018) Full Approximation Scheme for Reservoir Simulation. NIKT: Norsk IKT-konferanse for forskning og utdanning.
  Vitenskapelig artikkel
• Zefreh, Masoud Ghaderi; Nilsen, Halvor Møll; Lie, Knut-Andreas; Raynaud, Xavier; Doster, Florian. (2018) Streamline simulation of a reactive advective flow with discontinuous flux function. Computational Geosciences. volum 23 (2).
  Vitenskapelig artikkel

2017

• Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2017) Categorization of Norwegian Continental Shelf formations in terms of geological CO2 storage potentials. Energy Procedia. volum 114.
  Vitenskapelig artikkel
• Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2017) On obtaining optimal well rates and placement for CO2 storage. Computational Geosciences. volum 21 (5-6).
  Vitenskapelig artikkel
• Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2017) Ranking and categorizing large-scale saline aquifer formations based on optimized CO2 storage potentials and economic factors. International Journal of Greenhouse Gas Control. volum 65.
  Vitenskapelig artikkel
• Bao, Kai; Lie, Knut-Andreas; Møyner, Olav; Liu, Ming. (2017) Fully implicit simulation of polymer flooding with MRST. Computational Geosciences. volum 21 (5-6).
  Vitenskapelig artikkel
• Klemetsdal, Øystein; Berge, Runar Lie; Lie, Knut-Andreas; Nilsen, Halvor Møll; Møyner, Olav. (2017) Unstructured Gridding and Consistent Discretizations for Reservoirs with Faults and Complex Wells. SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA.
  Vitenskapelig kapittel/artikkel
• Klemetsdal, Øystein; Møyner, Olav; Lie, Knut-Andreas. (2017) Non-linear Newton Solver for a Polymer Two-phase System Using Interface-localized Trust Regions. 19th European Symposium on Improved Oil Recovery/IOR Norway 2017.
  Vitenskapelig kapittel/artikkel
• Krogstad, Stein; Lie, Knut-Andreas; Nilsen, Halvor Møll; Berg, Carl Fredrik; Kippe, Vegard. (2017) Efficient flow diagnostics proxies for polymer flooding. Computational Geosciences. volum 21 (5-6).
  Vitenskapelig artikkel
• Lie, Knut-Andreas. (2017) Executive summary. SPE Journal. volum 22 (6).
  Leder
• Lie, Knut-Andreas. (2017) Executive summary. SPE Journal. volum 22 (4).
  Leder
• Lie, Knut-Andreas. (2017) Executive summary. SPE Journal. volum 22 (2).
  Leder
• Lie, Knut-Andreas; Kedia, Kushal; Skaflestad, Bård; Wang, Xioachen; Yang, Yahan; Wu, Xiao-Hui; Hoda, Nazish. (2017) A General Non-Uniform Coarsening and Upscaling Framework for Reduced-Order Modeling. SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA.
  Faglig kapittel
• Lie, Knut-Andreas; Møyner, Olav; Natvig, Jostein Roald. (2017) A Feature-Enriched Multiscale Method for Simulating Complex Geomodels. SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA.
  Faglig kapittel
• Lie, Knut-Andreas; Møyner, Olav; Natvig, Jostein Roald. (2017) Use of multiple multiscale operators to accelerate simulation of complex geomodels. SPE Journal. volum 22 (06).
  Vitenskapelig artikkel
• Lie, Knut-Andreas; Møyner, Olav; Natvig, Jostein Roald; Kozlova, Antonina; Bratvedt, Kyrre; Watanabe, Shingo; Li, Zhuoyi. (2017) Successful application of multiscale methods in a real reservoir simulator environment. Computational Geosciences. volum 21 (5-6).
  Vitenskapelig artikkel
• Mykkeltvedt, Trine Solberg; Raynaud, Xavier; Lie, Knut-Andreas. (2017) Fully implicit higher-order schemes applied to polymer flooding. Computational Geosciences. volum 21 (5-6).
  Vitenskapelig artikkel
• Nilsen, Halvor Møll; Krogstad, Stein; Andersen, Odd; Allen, Rebecca; Lie, Knut-Andreas. (2017) Using sensitivities and vertical-equilibrium models for parameter estimation of CO2 injection models with application to Sleipner data. Energy Procedia. volum 114.
  Vitenskapelig artikkel
• Vink, Jeroen; Klie, Hektor; Austin, Andy; Beckner, Brett; Bratvedt, Kyrre; Cao, Hui; Cominelli, Alberto; Ding, Didier-Yu; Fung, Larry; Geiger, Sebastian; Gerritsen, Margot; Guo, Ying; Jansen, Jan-Dirk; Lie, Knut-Andreas; Mallison, Bradley T.; Muggeridge, A.; Shaw, Gareth; Shrivastava, Vijay; Tchelepi, Hamdi; Wheeler, Mary F.; Wu, Xiao-Hui; Younis, Rami; Zhang, Dong. (2017) SPE Reservoir Simulation Conference, 20-22 February, Montgomery, Texas, USA. Society of Petroleum Engineers. 2017. ISBN 978-1-61399-483-2.
  Vitenskapelig antologi

2016

• Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas. (2016) On Obtaining Optimal Well Rates and Placement for CO2 Storage. ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016.
  Vitenskapelig kapittel/artikkel
• Andersen, Odd; Lie, Knut-Andreas; Nilsen, Halvor Møll. (2016) An Open-Source Toolchain for Simulation and Optimization of Aquifer-Wide CO2 Storage. Energy Procedia. volum 86.
  Vitenskapelig artikkel
• Bao, Kai; Lie, Knut-Andreas; Møyner, Olav; Liu, Ming. (2016) Fully Implicit Simulation of Polymer Flooding with MRST. ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016.
  Vitenskapelig kapittel/artikkel
• Hilden, Sindre Tonning; Møyner, Olav; Lie, Knut-Andreas; Bao, Kai. (2016) Multiscale simulation of polymer flooding with shear effects. Transport in Porous Media. volum 113 (1).
  Vitenskapelig artikkel
• Krogstad, Stein; Lie, Knut-Andreas; Nilsen, Halvor Møll; Berg, Carl Fredrik; Kippe, Vegard. (2016) Flow diagnostics for optimal polymer injection strategies. ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016.
  Vitenskapelig kapittel/artikkel
• Lie, Knut-Andreas. (2016) Executive summary. SPE Journal. volum 21 (6).
  Leder
• Lie, Knut-Andreas. (2016) Executive summary. SPE Journal. volum 21 (4).
  Leder
• Lie, Knut-Andreas. (2016) Executive summary. SPE Journal. volum 21 (2).
  Leder
• Lie, Knut-Andreas; Mykkeltvedt, Trine Solberg; Raynaud, Xavier. (2016) Fully Implicit Higher-order Schemes Applied to Polymer Flooding. ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016.
  Vitenskapelig kapittel/artikkel
• Lie, Knut-Andreas; Møyner, Olav; Natvig, Jostein Roald; Antonina, Kozlova; Bratvedt, Kyrre; Watanabe, S; Li, Z. (2016) Successful Application of Multiscale Methods in a Real Reservoir Simulator Environment. ECMOR XV - Proceedings of 15th European Conference on the Mathematics of Oil Recovery, Amsterdam, Netherlands, 29 August - 1 September, 2016.
  Vitenskapelig kapittel/artikkel
• Møyner, Olav; Lie, Knut-Andreas. (2016) A multiscale restriction-smoothed basis method for compressible black-oil models. SPE Journal. volum 21 (6).
  Vitenskapelig artikkel
• Møyner, Olav; Lie, Knut-Andreas. (2016) A multiscale restriction-smoothed basis method for high contrast porous media represented on unstructured grids. Journal of Computational Physics. volum 304.
  Vitenskapelig artikkel
• Raynaud, Xavier; Lie, Knut-Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø. (2016) The single-cell transport problem for two-phase flow with polymer. Computational Geosciences. volum 20 (3).
  Vitenskapelig artikkel
• Shah, Swej; Møyner, Olav; Tene, Matei; Lie, Knut-Andreas; Hajibeygi, Hadi. (2016) The multiscale restriction smoothed basis method for fractured porous media (F-MsRSB). Journal of Computational Physics. volum 318.
  Vitenskapelig artikkel

2015

• Andersen, Odd; Bao, Kai; Hilden, Sindre Tonning; Krogstad, Stein; Lie, Knut-Andreas; Møyner, Olav; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø; Raynaud, Xavier; Skaflestad, Bård. (2015) Matlab Reservoir Simulation Toolbox: MRST 2015a. SINTEF ICT, Oslo. 2015.
  Programvare
• Dragland, Åse Kirsti; Brodtkorb, André R.; Rasmussen, Atgeirr Flø; Lie, Knut-Andreas. (2015) Nytt språk gir kjappe simuleringer. Gemini.
  Populærvitenskapelig artikkel
• Flornes, Kristin Margrethe; Lie, Knut-Andreas; Rustad, Alf Birger; Bao, Kai; Blatt, Markus; Brodtkorb, André R.; Brudevoll, Edvin; Fløysand, Christine; Hove, Joakim; Klöfkorn, Robert; Kvarving, Arne Morten; Lauser, Andreas; Rasmussen, Atgeirr Flø; Sandve, Tor Harald; Skaflestad, Bård; Sævareid, Ove. (2015) The Open Porous Media Initiative -- Release 2015.04. www.opm-project.org, www.opm-project.org. 2015.
  Programvare
• Flornes, Kristin Margrethe; Lie, Knut-Andreas; Rustad, Alf Birger; Bao, Kai; Blatt, Markus; Brodtkorb, André Rigland; Fløysand, Christine; Gundersen, Fredrik; Hove, Joakim; Klöfkorn, Robert; Kvarving, Arne Morten; Lauser, Andreas; Rasmussen, Atgeirr Flø; Sandve, Tor Harald; Skaflestad, Bård; Sævareid, Ove. (2015) The Open Porous Media Initiative -- Release 2015.10. www.opm-project.org, www.opm-project.org. 2015.
  Programvare
• Kaulmann, Sven; Flemisch, Bernd; Haasdonk, Bernard; Lie, Knut-Andreas; Ohlberger, Mario. (2015) The localized reduced basis multiscale method for two-phase flows in porous media. International Journal for Numerical Methods in Engineering. volum 102 (5).
  Vitenskapelig artikkel
• Krogstad, Stein; Lie, Knut-Andreas; Møyner, Olav; Nilsen, Halvor Møll; Raynaud, Xavier; Skaflestad, Bård. (2015) MRST-AD: an open-source framework for rapid prototyping and evaluation of reservoir simulation problems. SPE Reservoir Simulation Symposium, 23-25 February 2015, Houston, Texas, USA.
  Vitenskapelig kapittel/artikkel
• Lie, Knut-Andreas. (2015) Hyperbolic Conservation Laws: Computation. Encyclopedia of Applied and Computational Mathematics.
  Leksikalsk innførsel
• Lie, Knut-Andreas; Mallison, Bradley T.. (2015) Mathematical models for oil reservoir simulation. Encyclopedia of Applied and Computational Mathematics.
  Leksikalsk innførsel
• Lie, Knut-Andreas; Møyner, Olav; Krogstad, Stein. (2015) Application of Flow Diagnostics and Multiscale Methods for Reservoir Management. SPE Reservoir Simulation Symposium, 23-25 February 2015, Houston, Texas, USA.
  Vitenskapelig kapittel/artikkel
• Lie, Knut-Andreas; Nilsen, Halvor Møll; Andersen, Odd; Møyner, Olav. (2015) A simulation workflow for large-scale CO2 storage in the Norwegian North Sea. Computational Geosciences. volum 20 (3).
  Vitenskapelig artikkel
• Møyner, Olav; Lie, Knut-Andreas. (2015) A multiscale method based on restriction-smoothed basis functions suitable for general grids in high contrast media. SPE Reservoir Simulation Symposium, 23-25 February 2015, Houston, Texas, USA.
  Vitenskapelig kapittel/artikkel
• Nilsen, Halvor Møll; Lie, Knut Andreas; Møyner, Olav; Andersen, Odd. (2015) Spill-point analysis and structural trapping capacity in saline aquifers using MRST-co2lab. Computers & Geosciences. volum 75.
  Vitenskapelig artikkel
• Nilsen, Halvor Møll; Lie, Knut-Andreas; Andersen, Odd. (2015) Analysis of CO2 trapping capacities and long-term migration for geological formations in the Norwegian North Sea using MRST-co2lab. Computers & Geosciences. volum 79.
  Vitenskapelig artikkel
• Nilsen, Halvor Møll; Lie, Knut-Andreas; Andersen, Odd. (2015) Fully-implicit simulation of vertical-equilibrium models with hysteresis and capillary fringe. Computational Geosciences. volum 20 (1).
  Vitenskapelig artikkel
• Nilsen, Halvor Møll; Lie, Knut-Andreas; Andersen, Odd. (2015) Robust simulation of sharp-interface models for fast estimation of CO2 trapping capacity in large-scale aquifer systems. Computational Geosciences. volum Published ahead of print.
  Vitenskapelig artikkel
• Pal, Mayur; Lamine, Sadok; Lie, Knut Andreas; Krogstad, Stein. (2015) Validation of the multiscale mixed finite-element method. International Journal for Numerical Methods in Fluids. volum 77 (4).
  Vitenskapelig artikkel
• Sætra, Martin Lilleeng; Brodtkorb, André R.; Lie, Knut Andreas. (2015) Efficient GPU-Implementation of Adaptive Mesh Refinement for the Shallow-Water Equations. Journal of Scientific Computing. volum 63 (1).
  Vitenskapelig artikkel

2014

• Andersen, Odd; Nilsen, Halvor Møll; Lie, Knut-Andreas. (2014) Reexamining CO2 Storage Capacity and Utilization of the Utsira Formation. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
  Vitenskapelig kapittel/artikkel
• Hilden, Sindre Kristensen; Lie, Knut-Andreas; Raynaud, Xavier. (2014) Steady State Upscaling of Polymer Flooding. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
  Vitenskapelig kapittel/artikkel
• Lie, Knut Andreas; Natvig, Jostein Roald; Krogstad, Stein; Yang, Yahan; Wu, Xiao-Hui. (2014) Grid adaptation for the Dirichlet-Neumann representation method and the multiscale mixed finite-element method. Computational Geosciences. volum 18 (3-4).
  Vitenskapelig artikkel
• Lie, Knut Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø; Raynaud, Xavier. (2014) Fast Simulation of Polymer Injection in Heavy-Oil Reservoirs on the Basis of Topological Sorting and Sequential Splitting. SPE Journal. volum 19 (6).
  Vitenskapelig artikkel
• Lie, Knut-Andreas; Nilsen, Halvor Møll; Andersen, Odd; Møyner, Olav. (2014) A Simulation Workflow for Large-scale CO2 Storage in the Norwegian North Sea. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
  Vitenskapelig kapittel/artikkel
• Mykkeltvedt, Trine; Aavatsmark, Ivar; Lie, Knut-Andreas. (2014) Numerical Aspects of Polymer Flood Modeling. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
  Vitenskapelig kapittel/artikkel
• Møyner, Olav; Krogstad, Stein; Lie, Knut-Andreas. (2014) The application of flow diagnostics for reservoir management. SPE Journal. volum 20 (2).
  Vitenskapelig artikkel
• Møyner, Olav; Lie, Knut Andreas. (2014) A multiscale two-point flux-approximation method. Journal of Computational Physics. volum 275.
  Vitenskapelig artikkel
• Møyner, Olav; Lie, Knut Andreas. (2014) The Multiscale Finite-Volume Method on Stratigraphic Grids. SPE Journal. volum 19 (5).
  Vitenskapelig artikkel
• Rasmussen, Atgeirr Flø; Lie, Knut-Andreas. (2014) Discretization of Flow Diagnostics on Stratigraphic and Unstructured Grids. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
  Vitenskapelig kapittel/artikkel
• Raynaud, Xavier; Lie, Knut-Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø. (2014) Well-posedness of the Single-cell Transport Problem for Two-phase Flow with Polymer. ECMOR XIV - Proceedings of 14th European Conference on the Mathematics of Oil Recovery, Catania, Italy, 8-11 September, 2014.
  Vitenskapelig kapittel/artikkel

2013

• Lie, Knut Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø; Raynaud, Xavier. (2013) Fast Simulation of Polymer Injection in Heavy-Oil Reservoirs Based on Topological Sorting and Sequential Splitting. SPE reservoir simulation symposium 2013 : The Woodlands, Texas, USA, 18-20 February 2013.
  Vitenskapelig kapittel/artikkel
• Møyner, Olav; Lie, Knut Andreas. (2013) The multiscale finite volume method on unstructured grids. SPE reservoir simulation symposium 2013 : The Woodlands, Texas, USA, 18-20 February 2013.
  Vitenskapelig kapittel/artikkel
• Pal, Mayur; Lamine, Sadok; Lie, Knut Andreas; Krogstad, Stein. (2013) Multiscale method for simulating two and three-phase flow in porous media. SPE reservoir simulation symposium 2013 : The Woodlands, Texas, USA, 18-20 February 2013.
  Vitenskapelig kapittel/artikkel

2012

• Alpak, Faruk Omer; Pal, Mayur; Lie, Knut-Andreas. (2012) A Multiscale Adaptive Local-Global Method for Modeling Flow in Stratigraphically Complex Reservoirs. SPE Journal. volum 17 (4).
  Vitenskapelig artikkel
• Hauge, Vera Louise; Lie, Knut-Andreas; Natvig, Jostein Roald. (2012) Flow-based coarsening for multiscale simulation of transport in porous media. Computational Geosciences. volum 16 (2).
  Vitenskapelig artikkel
• Krogstad, Stein; Lie, Knut-Andreas; Skaflestad, Bård. (2012) Mixed multiscale methods for compressible flow. ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB.
  Annet
• Lie, Knut-Andreas; Krogstad, Stein; Ligaard, Ingeborg S; Natvig, Jostein Roald; Nilsen, Halvor Møll; Skaflestad, Bård. (2012) Open-source MATLAB implementation of consistent discretisations on complex grids. Computational Geosciences. volum 16 (2).
  Vitenskapelig artikkel
• Lie, Knut-Andreas; Natvig, Jostein Roald; Nilsen, Halvor Møll. (2012) Discussion of dynamics and operator splitting techniques for two-phase flow with gravity. International Journal of Numerical Analysis & Modeling. volum 9 (3).
  Vitenskapelig artikkel
• Lie, Knut-Andreas; Nilsen, Halvor Møll; Rasmussen, Atgeirr Flø; Raynaud, Xavier Marcel. (2012) An unconditionally stable splitting method using reordering for simulating polymer injection. ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB.
  Annet
• Natvig, Jostein Roald; Lie, Knut-Andreas; Krogstad, Stein; Yang, Yahan; Wu, Xiao-Hui. (2012) Grid adaption for upscaling and multiscale methods. ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB.
  Annet
• Nilsen, Halvor Møll; Lie, Knut Andreas; Natvig, Jostein Roald. (2012) Accurate modelling of faults by multipoint, mimetic, and mixed methods. SPE Journal. volum 17 (02).
  Vitenskapelig artikkel
• Nilsen, Halvor Møll; Natvig, Jostein Roald; Lie, Knut-Andreas. (2012) Accurate Modeling of Faults by Multipoint, Mimetic, and Mixed Methods. SPE Journal. volum 17 (2).
  Vitenskapelig artikkel
• Nilsen, Halvor Møll; Syversveen, Anne Randi; Lie, Knut-Andreas; Tveranger, Jan; Nordbotten, Jan Martin. (2012) Impact of top-surface morphology on CO2 storage capacity. International Journal of Greenhouse Gas Control. volum 11.
  Vitenskapelig artikkel
• Pal, Mayur; Lamine, Sadok; Lie, Knut-Andreas; Krogstad, Stein. (2012) Multiscale methods for two and three-phase flow simulation in subsurface petroleum reservoirs. ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB.
  Annet
• Syversveen, Anne Randi; Nilsen, Halvor Møll; Lie, Knut-Andreas; Tveranger, Jan; Abrahamsen, Petter. (2012) A Study on How Top-Surface Morphology Influences the Storage Capacity of CO2 in Saline Aquifers. Geostatistics Oslo 2012.
  Vitenskapelig kapittel/artikkel

2011

• Alpak, Faruk Omer; Pal, Mayur; Lie, Knut-Andreas. (2011) A Multiscale Method for Modeling Flow in Stratigraphically Complex Reservoirs. SPE Reservoir Simulation Symposium 2011 : 21-23 February 2011, The Woodlands, Texas, USA.
  Vitenskapelig kapittel/artikkel
• Krotkiewski, Marcin; Ligaard, Ingeborg S; Lie, Knut-Andreas; Schmid, Daniel Walter. (2011) On the importance of the Stokes-Brinkman equations for computing effective permeability in karst reservoirs. Communications in Computational Physics. volum 10 (5).
  Vitenskapelig artikkel
• Natvig, Jostein Roald; Skaflestad, Bård; Bratvedt, Frode; Bratvedt, Kyrre; Lie, Knut-Andreas; Laptev, Vsevolod; Khataniar, Sanjoy. (2011) Multiscale Mimetic Solvers for Efficient Streamline Simulation of Fractured Reservoirs. SPE Journal. volum 16 (4).
  Vitenskapelig artikkel
• Nilsen, Halvor Møll; Herrera, Paulo; Ashraf, Seyed Meisam; Ligaard, Ingeborg S; Iding, Martin; Hermanrud, Christian; Lie, Knut-Andreas; Nordbotten, Jan Martin; Dahle, Helge K.; Keilegavlen, Eirik. (2011) Field-case simulation of CO2-plume migration using vertical-equilibrium models. Energy Procedia. volum 4.
  Vitenskapelig artikkel

2010

• Ashraf, Seyed Meisam; Lie, Knut Andreas; Nilsen, Halvor Møll; Skorstad, Arne; Nordbotten, Jan M.. (2010) Impact of geological heterogeneity on early-stage CO2 plume migration. Conference Proceedings ECMOR XII.
  Vitenskapelig kapittel/artikkel
• Brodtkorb, Bernt Andre; Hagen, Trond Runar; Lie, Knut-Andreas; Natvig, Jostein Roald. (2010) Simulation and visualization of the Saint-Venant system using GPUs. Computing and Visualization in Science. volum 13 (7).
  Vitenskapelig artikkel
• Gulbransen, Astrid Fossum; Hauge, Vera Louise; Lie, Knut-Andreas. (2010) A multiscale mixed finite-element method for vuggy and naturally-fractured reservoirs. SPE Journal. volum 15 (12).
  Vitenskapelig artikkel
• Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (2010) Splitting Methods for Partial Differential Equations with Rough Solutions. Analysis and Matlab Programs. European Mathematical Society Publishing House. 2010. ISBN 978-3-03719-078-4.
  Vitenskapelig monografi
• Lie, Knut-Andreas. (2010) Multiscale methods for subsurface flow. Computational Science and Engineering: Challenges and Opportunities.
  publications.POPVIT_KAPITTEL
• Tjåland, Egil; Kvamsdal, Trond; Amundsen, Jørn Aslak; Lie, Knut-Andreas; Maincon, Philippe; Rønquist, Einar; Skjetne, Paal; Åstrand, Per-Olof; Nystad, Arild Normann. (2010) Computational Science and Engineering: Challenges and Opportunities. 2010. ISBN 978-82-995202-0-1.
  Rapport

2009

• Aarnes, JE; Lie, Knut-Andreas; Kippe, V; Krogstad, Stein. (2009) Multiscale methods for subsurface flow. Multiscale Modeling and Simulation in Science.
  Vitenskapelig kapittel/artikkel
• Eikemo, Birgitte; Lie, Knut-Andreas; Eigestad, Geir Terje; Dahle, Helge Ketil. (2009) Discontinuous Galerkin methods for advective transport in single-continuum models of fractured media. Advances in Water Resources. volum 32 (4).
  Vitenskapelig artikkel
• Gulbransen, Astrid Fossum; Hauge, Vera Louise; Lie, Knut-Andreas. (2009) A Multiscale Mixed Finite-Element Method for Vuggy and Naturally-Fractured Reservoirs. SPE Reservoir Simulation Symposium, 2-4 February 2009, The Woodlands, Texas, USA.
  Vitenskapelig kapittel/artikkel
• Nilsen, Halvor Møll; Lie, Knut-Andreas. (2009) Front-tracking methods for use in streamline simulation of compressible flow. SPE Reservoir Simulation Symposium, 2-4 February 2009, The Woodlands, Texas, USA.
  Vitenskapelig kapittel/artikkel
• Stenerud, Vegard Røine; Lie, KA; Kippe, V. (2009) Generalized travel-time inversion on unstructured grids. Journal of Petroleum Science and Engineering. volum 65 (3-4).
  Vitenskapelig artikkel
• Tai, Xue-C.; Mørken, K.; Lysaker, O.M.; Lie, Knut-A.. (2009) Scale Space and Variational Methods in Computer Vision. Second International Conference, SSVM 2009. Springer. 2009. ISBN 978-3-642-02255-5.
  Vitenskapelig antologi
• Tai, Xue-Cheng; Mørken, Knut Martin; Lysaker, Marius; Lie, Knut-Andreas. (2009) Scale Space and Variational Methods in Computer Vision. Springer. 2009. ISBN 978-3-642-02255-5. Lecture Notes in Computer Science (5567).
  Vitenskapelig antologi

2008

• Aarnes, Jørg Espen; Lie, Knut-Andreas; Kippe, Vegard; Krogstad, Stein. (2008) Multiscale methods for subsurface flow. Multiscale Modeling and Simulation in Science.
  Vitenskapelig kapittel/artikkel
• Stenerud, Vegard Røine; Kippe, Vegard; Lie, Knut-Andreas; Datta-Gupta, Akhil. (2008) Adaptive multiscale streamline simulation and inversion for high-resolution geomodels. SPE Journal. volum 13 (1).
  Vitenskapelig artikkel
• Aarnes, Jørg E.; Krogstad, Stein; Lie, Knut-Andreas. (2008) Multiscale mixed/mimetic methods on corner-point grids. Computational Geosciences. volum 12 (3).
  Vitenskapelig artikkel
• Gulbransen, Astrid Fossum; Hauge, Vera Louise; Lie, Knut-Andreas. (2008) A multiscale mixed finite-element method for vuggy and naturally-fractured reservoirs. 21st Nordic Seminar on Computational Mechanics.
  Vitenskapelig kapittel/artikkel
• Juanes, Ruben; Lie, Knut-Andreas. (2008) Numerical modeling of multiphase first-contact miscible flows. Part 2. Front-tracking/streamline simulation. Transport in Porous Media. volum 72 (1).
  Vitenskapelig artikkel
• Kippe, Vegard; Aarnes, Jørg E.; Lie, Knut-Andreas. (2008) A comparison of multiscale methods for elliptic problems in porous media flow. Computational Geosciences. volum 12 (3).
  Vitenskapelig artikkel
• Natvig, Jostein Roald; Lie, Knut-Andreas. (2008) Fast computation of multiphase flow in porous media by implicit discontinuous Galerkin schemes with optimal ordering of elements. Journal of Computational Physics. volum 227 (24).
  Vitenskapelig artikkel
• Natvig, Jostein Roald; Lie, Knut-Andreas. (2008) On Efficient Implicit Upwind Schemes. Proceedings of the 11th European Conference on the Mathematics of Oil Recovery.
  Vitenskapelig kapittel/artikkel
• Nilsen, Halvor Møll; Lie, Knut-Andreas. (2008) On Front Tracking for Compressible Flow. Proceedings of the 11th European Conference on the Mathematics of Oil Recovery.
  Vitenskapelig kapittel/artikkel
• Stenerud, Vegard Røine; Kippe, Vegard; Lie, Knut-Andreas; Datta-Gupta, Akhil. (2008) Adaptive multiscale streamline simulation and inversion for high-resolution geomodels. SPE Journal. volum 13 (1).
  Vitenskapelig artikkel

2007

• Stenerud, Vegard Røine; Lie, Knut-Andreas. (2007) Streamline-Based History Matching: A Review. 2007. ISBN 978-82-14-04075-3. SINTEF Rapport (A4109).
  Rapport
• Aarnes, Jørg E.; Gimse, Tore; Lie, Knut-Andreas. (2007) An Introduction to the Numerics of Flow in Porous Media using Matlab. Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF.
  Vitenskapelig kapittel/artikkel
• Aarnes, Jørg E.; Kippe, Vegard; Lie, Knut-Andreas; Rustad, Alf Birger. (2007) Modelling of Multiscale Structures in Flow Simulations for Petroleum Reservoirs. Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF.
  Vitenskapelig kapittel/artikkel
• Hagen, Trond Runar; Henriksen, Martin O.; Hjelmervik, Jon M.; Lie, Knut-Andreas. (2007) How to Solve Systems of Conservation Laws Numerically Using the Graphics Processor as a High-Performance Computational Engine. Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF.
  Leksikalsk innførsel
• Hagen, Trond Runar; Henriksen, Martin O; Hjelmervik, Jon M.; Lie, Knut-Andreas. (2007) How to solve systems of conservation laws numerically using the graphics processor as a high-performance computational engine. Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF.
  Vitenskapelig kapittel/artikkel
• Hasle, Geir; Lie, Knut-Andreas; Quak, Ewald Gunther. (2007) Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF. Springer Publishing Company. 2007. ISBN 978-3-540-68782-5.
  Vitenskapelig antologi
• Hasle, Geir; Lie, Knut-Andreas; Quak, Ewald Gunther. (2007) Geometric Modelling, Numerical Simulation, and Optimization: Applied Mathematics at SINTEF. Springer. 2007. ISBN 9783540687825.
  Vitenskapelig antologi
• Hægland, Håkon; Dahle, Helge K.; Eigestad, G. T.; Lie, Knut-Andreas; Aavatsmark, Ivar. (2007) Improved streamlines and time-of-flight for streamline simulation on irregular grids. Advances in Water Resources. volum 30 (4).
  Vitenskapelig artikkel
• Hægland, Håkon; Dahle, Helge Ketil; Eigestad, Geir Terje; Lie, Knut-Andreas; Aavatsmark, Ivar. (2007) Improved streamlines and time-of-flight for streamline simulation on irregular grids. Advances in Water Resources. volum 30 (4).
  Vitenskapelig artikkel
• Juanes, Ruben; Lie, Knut-Andreas. (2007) Numerical modeling of multiphase first-contact miscible flows. Part 1. Analytical Riemann solver. Transport in Porous Media. volum 67 (3).
  Vitenskapelig artikkel
• Natvig, Jostein R.; Lie, Knut-Andreas; Eikemo, Birgitte; Berre, Inga. (2007) An efficient discontinuous Galerkin method for advective transport in porous media. Advances in Water Resources. volum 30 (12).
  Vitenskapelig artikkel
• Tai, Xue-Cheng; Lie, Knut-Andreas; Chan, Tony F.; Osher, Stanley. (2007) Image Processing based on Partial differential equations. Springer. 2007. ISBN 978-3-540-33266-4.
  Vitenskapelig antologi

2006

• Aarnes, Jørg; Kippe, V; Lie, Knut-Andreas. (2006) Multiscale methods and streamline simulation for rapid reservoir performance prediction. Progress in Industrial Mathematics at ECMI 2004.
  Vitenskapelig kapittel/artikkel
• Aarnes, Jørg; Krogstad, Stein; Lie, Knut-Andreas. (2006) A hierarchical multiscale method for two-phase flow based upon mixed finite elements and nonuniform coarse grids. Multiscale Modeling & simulation. volum 5 (2).
  Vitenskapelig artikkel
• Aarnes, Jørg; Krogstad, Stein; Lie, Knut-Andreas; Laptev, V. (2006) Multiscale Mixed Methods on Corner-Point grids: Mimetic versus Mixed Subgrid Solvers. 2006. ISBN 8214040426. SINTEF Rapport (A578).
  Rapport
• Aarnes, Jørg; Krogstad, Stein; Lie, Knut-Andreas; Natvig, Jostein Roald. (2006) Fast sequential implicit porous media flow simulations using multiscale finite elements and reordering of cells for solution of nonlinear transport equation. 10th European Conference on the Mathematics of Oil Recovery ECMOR X, 04 September 2006.
  Vitenskapelig kapittel/artikkel
• Hagen, Trond Runar; Lie, Knut-Andreas; Natvig, Jostein Roald. (2006) Solving the Euler equations on graphical processing units. Computational Science - ICCS 2006, Pt. 4, Proceedings.
  Vitenskapelig kapittel/artikkel
• Hagen, Trond Runar; Lie, Knut-Andreas; Natvig, Jostein Roald. (2006) Solving the Euler equations on graphics processing units. Lecture Notes in Computer Science (LNCS). volum 3994.
  Vitenskapelig artikkel
• Tai, Xue-Cheng; Lie, Knut-Andreas; Chan, Tony; Osher, Stanley. (2006) Image Processing based on Partial differential equations. Springer. 2006. ISBN 978-3-540-33266-4. Mathematics and Visualization (18).
  Vitenskapelig antologi

2005

• Aarnes, Jørg Espen; Kippe, Vegard; Lie, Knut-Andreas. (2005) Mixed multiscale finite elements and streamline methods for reservoir simulation of large geomodels. Advances in Water Resources. volum 28 (3).
  Vitenskapelig artikkel
• Hagen, Trond R; Hjelmervik, Jon M.; Lie, Knut-Andreas; Natvig, Jostein Roald; Henriksen, M.. (2005) Visual simulation of shallow-water waves. Simulation modelling practice and theory. volum 13 (8).
  Vitenskapelig artikkel
• Lie, Knut-Andreas; Aarnes, Jørg Espen; Kippe, Vegard; Krogstad, Stein. (2005) Multiscale Methods for Flow in Porous Media. Rakenteiden Mekaniikka. volum 38 (3).
  Vitenskapelig artikkel
• Lie, Knut-Andreas; Juanes, Ruben. (2005) A front-tracking method for the simulation of three-phase flow in porous media. Computational Geosciences. volum 9 (1).
  Vitenskapelig artikkel
• Berre, Inga; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein R.. (2005) Fast computation of arrival times in heterogeneous media. Computational Geosciences. volum 9 (4).
  Vitenskapelig artikkel

2004

• Lie, K. A.; Tveito, Aslak. (2004) Development of a staggered central difference scheme that does not use a spatial reconstruction. 2004.
  Rapport

2003

• Berre, I.; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald. (2003) Fast computation of arrival times in heterogeneous. 2003. ISBN 82-553-1372-9.
  Rapport
• Lie, Knut-Andreas. (2003) An improved quadrature rule for the flux-computation in staggered central difference schemes in multidimensions. Journal of Scientific Computing. volum 18 (1).
  Vitenskapelig artikkel
• Lie, Knut-Andreas. (2003) On the artificial compression method for second-order nonoscillatory central difference schemes for systems of conservation laws. SIAM Journal on Scientific Computing. volum 24 (4).
  Vitenskapelig artikkel

2002

• Berre, Inga; Dahle, Helge Ketil; Karlsen, Kenneth H.; Lie, Knut-Andreas; Natvig, Jostein R.. (2002) Time-of-flight + fast Marching + transport collapse: an alternative to streamlines for tow-phase porous media flow with capillary forces?. Developments in Water Science. volum 47.
  Vitenskapelig artikkel

2001

• Dahle, Helge Ketil; Karlsen, Kenneth Hvistendahl; Lie, Knut-A.; Natvig, Jostein R.. (2001) Corrected operator splitting for systems of convection-diffusion equations. MANGLER.
  Vitenskapelig artikkel
• Haugse, Vidar; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein. (2001) Numerical solution of the polymer system by front tracking. Transport in Porous Media. volum 44 (1).
  Vitenskapelig artikkel
• Haugse, Vidar; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald. (2001) Numerical solution of the polymer system by front tracking. Transport in Porous Media. volum 44 (1).
  Vitenskapelig artikkel
• Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald; Nordhaug, Hans Fredrik; Dahle, Helge Ketil. (2001) Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies. Journal of Computational Physics. volum 173 (2).
  Vitenskapelig artikkel

2000

• Bürger, Raymond; Evje, Steinar; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Numerical methods for the simulation of the settling of flocculated suspensions. Chemical Engineering Journal. volum 80.
  Vitenskapelig artikkel
• Evje, Steinar; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (2000) Front tracking and operator splitting for nonlinear degenerate convection-diffusion equations. IMA Journal of Applied Mathematics. volum 120.
  Vitenskapelig artikkel
• Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. CMS Conference Proceedings Series. volum 29.
  Vitenskapelig artikkel
• Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (2000) Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation. Computational Geosciences. volum 4.
  Vitenskapelig artikkel
• Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik. (2000) A fast marching method for reservoir simulation. Computational Geosciences. volum 4.
  Vitenskapelig artikkel
• Lie, Knut-Andreas. (2000) Front tracking for one-dimensional quasilinear hyperbolic equations with variable coefficients. Numerical Algorithms. volum 24 (3).
  Vitenskapelig artikkel

1999

• Haugse, V; Karlsen, Kenneth Hvistendahl; Lie, K-A; Natvig, JR. (1999) Numerical solution of the polymer system by front tracking. 1999. Preprint.
  Rapport
• Holdahl, Runar; Holden, Helge; Lie, Knut Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics. volum 39.
  Vitenskapelig artikkel
• Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, K-A. (1999) Operator splitting methods for degenerate convection-diffusion equations I: convergence and entropy estimates. 1999. Preprint.
  Rapport
• Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, K-A. (1999) Operator splitting methods for degenerate convection-diffusion equations II: numerical examples with emphasis on reservoir simulation and sedimentation. 1999. Preprint.
  Rapport
• Holden, Helge; Lie, Knut-Andreas; Risebro, N.H.. (1999) An Unconditionally Stable Method for the Euler Equations. Journal of Computational Physics. volum 150.
  Vitenskapelig artikkel
• Karlsen, Kenneth Hvistendahl; Lie, K-A; Risebro, NH. (1999) A fast level set method for reservoir simulation. 1999. Preprint.
  Rapport
• Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (1999) An unconditionally stable splitting for a class of nonlinear parabolicequations. IMA Journal of Numerical Analysis. volum 19.
  Vitenskapelig artikkel
• Holdahl, Runar; Holden, Helge; Lie, Knut-Andreas. (1999) Unconditionally stable splitting methods for the shallow water equations. BIT Numerical Mathematics. volum 39 (3).
  Vitenskapelig artikkel
• Holden, Helge; Lie, Knut-Andreas; Risebro, Nils Henrik. (1999) An unconditionally stable method for the Euler equations. Journal of Computational Physics.
  Vitenskapelig artikkel
• Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas. (1999) An unconditionally stable splitting scheme for a class of nonlinear parabolic equations. IMA Journal of Numerical Analysis. volum 19 (4).
  Vitenskapelig artikkel
• Lie, Knut-Andreas. (1999) A dimensional splitting method for quasilinear hyperbolic equations with variable coefficients. BIT Numerical Mathematics. volum 39 (4).
  Vitenskapelig artikkel

1998

• Karlsen, Kenneth Hvistendahl; Brusdal, Kari; Dahle, Helge Ketil; Evje, S.; Lie, K-A. (1998) The corrected operator splitting approach applied to a nonlinear advection-diffusion problem. Computer Methods in Applied Mechanics and Engineering. volum 167 (3/4).
  Vitenskapelig artikkel
• Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik; Frøyen, Johnny. (1998) A front-tracking approach to a two-phase fluid-flow model with capillary forces. In situ. volum 22 (1).
  Vitenskapelig artikkel
• Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik; Frøyen, Johnny. (1998) A front-tracking approach to a two-phase fluid-flow model with capillary forces. In situ. volum 22 (1).
  Vitenskapelig artikkel

1997

• Karlsen, Kenneth Hvistendahl; Brusdal, Kari; Dahle, Helge Ketil; Evje, Steinar; Lie, Knut-Andreas. (1997) The corrected operator splitting approach to a nonlinear advection-diffusion problem. Applied Mathematics Report.
  Vitenskapelig artikkel