Knut-Andreas Lie

Research.com Recognitions

• 2020 - SIAM Fellow For contributions to the advancement of mathematics within the geosciences, multiscale and operator-splitting numerical methods, and open-source software tools.

Overview

Best Publications

• An Introduction to Reservoir Simulation Using MATLAB/GNU Octave: User Guide for the MATLAB Reservoir Simulation Toolbox (MRST)

  Knut-Andreas Lie

  568
  Citations

• Open-source MATLAB implementation of consistent discretisations on complex grids

  Knut–Andreas Lie;Knut–Andreas Lie;Stein Krogstad;Ingeborg Skjelkvåle Ligaarden;Jostein Roald Natvig

  532
  Citations

• Scale Space and Variational Methods in Computer Vision

  Xue-Cheng Tai;Knut Mørken;Marius Lysaker;Knut-Andreas Lie

  372
  Citations

• Splitting methods for partial differential equations with rough solutions : analysis and MATLAB programs

  Helge Holden;Kenneth Hvistendahl Karlsen;Knut-Andreas Lie;Nils Henrik Risebro

  259
  Citations

• A Hierarchical Multiscale Method for Two-Phase Flow Based upon Mixed Finite Elements and Nonuniform Coarse Grids

  Jorg E. Aarnes;Stein Krogstad;Knut-Andreas Lie

  242
  Citations

• An Introduction to the Numerics of Flow in Porous Media using Matlab

  Jørg E. Aarnes;Tore Gimse;Knut-Andreas Lie

  228
  Citations

• A comparison of multiscale methods for elliptic problems in porous media flow

  Vegard Kippe;Jørg E. Aarnes;Knut-Andreas Lie

  216
  Citations

• Mixed multiscale finite elements and streamline methods for reservoir simulation of large geomodels

  Jørg E. Aarnes;Vegard Kippe;Knut-Andreas Lie

  207
  Citations

• Multiscale mixed/mimetic methods on corner-point grids

  Jørg E. Aarnes;Stein Krogstad;Knut-Andreas Lie

  204
  Citations

• On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws

  Knut-Andreas Lie;Sebastian Noelle

  188
  Citations

• MRST-AD - an Open-Source Framework for Rapid Prototyping and Evaluation of Reservoir Simulation Problems

  Stein Krogstad;Knut–Andreas Lie;Olav Møyner;Halvor Møll Nilsen

  184
  Citations

• The Application of Flow Diagnostics for Reservoir Management

  Olav Møyner;Stein Krogstad;Knut-Andreas Lie

  154
  Citations

• Fast computation of multiphase flow in porous media by implicit discontinuous Galerkin schemes with optimal ordering of elements

  Jostein R. Natvig;Knut-Andreas Lie

  146
  Citations

• Solving the euler equations on graphics processing units

  Trond Runar Hagen;Knut-Andreas Lie;Jostein R. Natvig

  144
  Citations

• A Multiscale Mixed Finite-Element Method for Vuggy and Naturally Fractured Reservoirs

  Astrid Fossum Gulbransen;Vera Louise Hauge;Knut-Andreas Lie

  131
  Citations

• A multiscale restriction-smoothed basis method for high contrast porous media represented on unstructured grids

  Olav Møyner;Knut-Andreas Lie

  125
  Citations

• Fully Implicit Simulation of Polymer Flooding with MRST

  Kai Bao;Knut-Andreas Lie;Olav Møyner;Ming Liu

  124
  Citations

• Numerical methods for the simulation of the settling of flocculated suspensions

  R. Bürger;S. Evje;K. Hvistendahl Karlsen;K.-A. Lie

  119
  Citations

• The Open Porous Media Flow reservoir simulator

  Atgeirr Flø Rasmussen;Tor Harald Sandve;Kai Bao;Andreas Lauser

  113
  Citations

• Visual simulation of shallow-water waves

  Trond Runar Hagen;Jon M. Hjelmervik;Knut-Andreas Lie;Jostein R. Natvig

  112
  Citations

• Operator spltting methods for systems of convection-diffusion equations: Nonlinear error mechanisms and correction strategies

  K. Hvistendahl Karlsen;K. A. Lie;K. A. Lie;J. R. Natvig;H. F. Nordhaug

  110
  Citations

• Geometric Modelling, Numerical Simulation, and Optimization

  Geir Hasle;Knut-Andreas Lie;Ewald Quak

  110
  Citations

• Geometric modelling, numerical simulation, and optimization : applied mathematics at SINTEF

  Geir Hasle;Knut-Andreas Lie;Ewald Quak

  105
  Citations