| Open-source MATLAB implementation of consistent discretisations on complex grids KA Lie, S Krogstad, IS Ligaarden, JR Natvig, HM Nilsen, B Skaflestad Computational Geosciences 16, 297-322, 2012 | 526 | 2012 |
| Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows S Noelle, N Pankratz, G Puppo, JR Natvig Journal of Computational Physics 213 (2), 474-499, 2006 | 394 | 2006 |
| Fast computation of multiphase flow in porous media by implicit discontinuous Galerkin schemes with optimal ordering of elements JR Natvig, KA Lie Journal of Computational physics 227 (24), 10108-10124, 2008 | 137 | 2008 |
| Solving the Euler equations on graphics processing units TR Hagen, KA Lie, JR Natvig Computational Science–ICCS 2006: 6th International Conference, Reading, UK …, 2006 | 136 | 2006 |
| Visual simulation of shallow-water waves TR Hagen, JM Hjelmervik, KA Lie, JR Natvig, MO Henriksen Simulation Modelling Practice and Theory 13 (8), 716-726, 2005 | 119 | 2005 |
| Operator splitting methods for systems of convection–diffusion equations: nonlinear error mechanisms and correction strategies KH Karlsen, KA Lie, JR Natvig, HF Nordhaug, HK Dahle Journal of Computational Physics 173 (2), 636-663, 2001 | 103 | 2001 |
| A real-field multiscale black-oil reservoir simulator A Kozlova, Z Li, JR Natvig, S Watanabe, Y Zhou, K Bratvedt, SH Lee SPE Journal 21 (06), 2049-2061, 2016 | 76 | 2016 |
| Constrained pressure residual multiscale (CPR-MS) method for fully implicit simulation of multiphase flow in porous media M Cusini, AA Lukyanov, J Natvig, H Hajibeygi Journal of Computational Physics 299, 472-486, 2015 | 72 | 2015 |
| Successful application of multiscale methods in a real reservoir simulator environment KA Lie, O Møyner, JR Natvig, A Kozlova, K Bratvedt, S Watanabe, Z Li ECMOR XV-15th European conference on the mathematics of oil recovery, cp-494 …, 2016 | 70 | 2016 |
| Multiscale mimetic solvers for efficient streamline simulation of fractured reservoirs JR Natvig, B Skaflestad, F Bratvedt, K Bratvedt, KA Lie, V Laptev, ... Spe Journal 16 (04), 880-888, 2011 | 64 | 2011 |
| An efficient discontinuous Galerkin method for advective transport in porous media JR Natvig, KA Lie, B Eikemo, I Berre Advances in water resources 30 (12), 2424-2438, 2007 | 60 | 2007 |
| A multiscale mixed finite-element solver for three-phase black-oil flow S Krogstad, KA Lie, HM Nilsen, JR Natvig, B Skaflestad, JE Aarnes SPE Reservoir Simulation Conference?, SPE-118993-MS, 2009 | 54 | 2009 |
| Simulation and visualization of the Saint-Venant system using GPUs AR Brodtkorb, TR Hagen, KA Lie, JR Natvig Computing and Visualization in Science 13, 341-353, 2010 | 53 | 2010 |
| Flow-based coarsening for multiscale simulation of transport in porous media VL Hauge, KA Lie, JR Natvig Computational Geosciences 16 (2), 391-408, 2012 | 50 | 2012 |
| Accurate modeling of faults by multipoint, mimetic, and mixed methods HM Nilsen, KA Lie, JR Natvig SPE journal 17 (02), 568-579, 2012 | 39 | 2012 |
| Numerical solution of the polymer system by front tracking V Haugse, KH Karlsen, KA Lie, JR Natvig Transport in Porous Media 44, 63-83, 2001 | 25 | 2001 |
| A hybrid approach to parallel multiscale reservoir simulator A Kozlova, D Walsh, S Chittireddy, Z Li, J Natvig, S Watanabe, K Bratvedt ECMOR XV-15th European Conference on the Mathematics of Oil Recovery, cp-494 …, 2016 | 21 | 2016 |
| Discretisation on Complex and Polyhedral Grids–Open Source MATLAB Implementation KA Lie, S Krogstad, IS Ligaarden, JR Natvig, HM Nilsen, B Skaflestad ECMOR XII-12th European Conference on the Mathematics of Oil Recovery, cp …, 2010 | 21 | 2010 |
| Use of multiple multiscale operators to accelerate simulation of complex geomodels KA Lie, O Møyner, JR Natvig SPE Journal 22 (06), 1929-1945, 2017 | 20 | 2017 |
| Fast computation of arrival times in heterogeneous media I Berre, KH Karlsen, KA Lie, JR Natvig Computational Geosciences 9, 179-201, 2005 | 20 | 2005 |
Knut-Andreas LieChief scientist at SINTEF, Professor II in mathematics at NTNUVerified email at sintef.no
