Front tracking for one-dimensional quasilinear hyperbolic equations with variable coefficients. - Knut-Andreas Lie (Numer. Algorithms, 2000)

An Improved Quadrature Rule for the Flux-Computation in Staggered Central Difference Schemes in Multidimensions. - Knut-Andreas Lie; Sebastian Noelle (J. Sci. Comput., 2003)

On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws. - Knut-Andreas Lie; Sebastian Noelle (SIAM J. Sci. Comput., 2003)

Visual simulation of shallow-water waves. - Trond Runar Hagen; Jon M. Hjelmervik; Knut-Andreas Lie; Jostein R. Natvig; M. Ofstad Henriksen (Simul. Model. Pract. Theory, 2005)

Solving the Euler Equations on Graphics Processing Units. - Trond Runar Hagen; Knut-Andreas Lie; Jostein R. Natvig (International Conference on Computational Science (4), 2006)

A Hierarchical Multiscale Method for Two-Phase Flow Based upon Mixed Finite Elements and Nonuniform Coarse Grids. - Jørg E. Aarnes; Stein Krogstad; Knut-Andreas Lie (Multiscale Model. Simul., 2006)

An Introduction to the Numerics of Flow in Porous Media using Matlab. - Jørg E. Aarnes; Tore Gimse; Knut-Andreas Lie (Geometric Modelling, Numerical Simulation, and Optimization, 2007)

Modelling of Multiscale Structures in Flow Simulations for Petroleum Reservoirs. - Jørg E. Aarnes; Vegard Kippe; Knut-Andreas Lie; Alf Birger Rustad (Geometric Modelling, Numerical Simulation, and Optimization, 2007)

How to Solve Systems of Conservation Laws Numerically Using the Graphics Processor as a High-Performance Computational Engine. - Trond Runar Hagen; Martin O. Henriksen; Jon M. Hjelmervik; Knut-Andreas Lie (Geometric Modelling, Numerical Simulation, and Optimization, 2007)

Automatic Segmentation of Overlapping Fish Using Shape Priors. - Sigmund Clausen; Katharina Greiner; Odd Andersen; Knut-Andreas Lie; Helene Schulerud; Tom Kavli (SCIA, 2007)

Fast computation of multiphase flow in porous media by implicit discontinuous Galerkin schemes with optimal ordering of elements. - Jostein R. Natvig; Knut-Andreas Lie (J. Comput. Phys., 2008)

Simulation and visualization of the Saint-Venant system using GPUs. - André Rigland Brodtkorb; Trond Runar Hagen; Knut-Andreas Lie; Jostein R. Natvig (Comput. Vis. Sci., 2010)

A multiscale two-point flux-approximation method. - Olav Møyner; Knut-Andreas Lie (J. Comput. Phys., 2014)

Analysis of CO2 trapping capacities and long-term migration for geological formations in the Norwegian North Sea using MRST-co2lab. - Halvor Møll Nilsen; Knut-Andreas Lie; Odd Andersen (Comput. Geosci., 2015)

Spill-point analysis and structural trapping capacity in saline aquifers using MRST-co2lab. - Halvor Møll Nilsen; Knut-Andreas Lie; Olav Møyner; Odd Andersen (Comput. Geosci., 2015)

Efficient GPU-Implementation of Adaptive Mesh Refinement for the Shallow-Water Equations. - Martin Lilleeng Sætra; André Rigland Brodtkorb; Knut-Andreas Lie (J. Sci. Comput., 2015)

A multiscale restriction-smoothed basis method for high contrast porous media represented on unstructured grids. - Olav Møyner; Knut-Andreas Lie (J. Comput. Phys., 2016)

The multiscale restriction smoothed basis method for fractured porous media (F-MsRSB). - Swej Shah; Olav Møyner; Matei Tene; Knut-Andreas Lie; Hadi Hajibeygi (J. Comput. Phys., 2016)

Full Approximation Scheme for Reservoir Simulation. - Raymond Toft; Knut-Andreas Lie; Olav Møyner (NIK, 2018)

Accelerating Multiscale Simulation of Complex Geomodels by Use of Dynamically Adapted Basis Functions. - Øystein Strengehagen Klemetsdal; Olav Møyner; Knut-Andreas Lie (CoRR, 2020)

Efficient Reordered Nonlinear Gauss-Seidel Solvers With Higher Order For Black-Oil Models. - Øystein S. Klemetsdal; Atgeirr F. Rasmussen; Olav Møyner; Knut-Andreas Lie (CoRR, 2020)

An implicit local time-stepping method based on cell reordering for multiphase flow in porous media. - Gaute Linga; Olav Møyner; Halvor Møll Nilsen; Arthur Moncorgé; Knut-Andreas Lie (J. Comput. Phys. X, 2020)

The Open Porous Media Flow reservoir simulator. - Atgeirr Flø Rasmussen; Tor Harald Sandve; Kai Bao; Andreas Lauser; Joakim Hove; Bård Skaflestad; Robert Klöfkorn; Markus Blatt; Alf Birger Rustad; Ove Sævareid; Knut-Andreas Lie; Andreas Thune (Comput. Math. Appl., 2021)

Building An Open-Source Community For Subsurface Flow Simulation. - Knut-Andreas Lie (ECMS, 2022)

Benchmarking CO2 Storage Simulations: Results from the 11th Society of Petroleum Engineers Comparative Solution Project. - Jan M. Nordbotten; Martin A. Fernø; Bernd Flemisch; Anthony R. Kovscek; Knut-Andreas Lie; Jakub Wiktor Both; Olav Møyner; Tor Harald Sandve; Etienne Ahusborde; Sebastian Bauer; Zhangxing Chen; Holger Class; et al. (CoRR, 2025)