• Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems 

      Marcinkowski, Leszek; Rahman, Talal; Loneland, Atle; Valdman, Jan (Peer reviewed; Journal article, 2015-09-25)
      A symmetric and a nonsymmetric variant of the additive Schwarz preconditioner are proposed for the solution of a class of finite volume element discretization of the symmetric elliptic problem in two dimensions, with large ...
    • Auxiliary variables for 3D multiscale simulations in heterogeneous porous media 

      Sandvin, Andreas; Keilegavlen, Eirik; Nordbotten, Jan Martin (Journal article, 2013-04-01)
      The multiscale control-volume methods for solving problems involving flow in porous media have gained much interest during the last decade. Recasting these methods in an algebraic framework allows one to consider them as ...
    • Domain decomposition preconditioning for non-linear elasticity problems 

      Keilegavlen, Eirik; Skogestad, Jan Ole; Nordbotten, Jan Martin (Chapter; Peer reviewed, 2014)
      We consider domain decomposition techniques for a non-linear elasticity problem. Our main focus is on non-linear preconditioning, realized in the framework of additive Schwarz preconditioned inexact Newton (ASPIN) methods. ...
    • Reconstructing Open Surfaces via Graph-Cuts 

      Wan, Min; Wang, Yu; Bae, Egil; Tai, Xue-Cheng; Wang, Desheng (Journal article, 2011)
      A novel graph-cuts-basedmethod is proposed for reconstructing open surfaces from unordered point sets. Through a boolean operation on the crust around the data set, the open surface problem is translated to a watertight ...
    • Two-scale preconditioning for two-phase nonlinear flows in porous media 

      Skogestad, Jan Ole; Keilegavlen, Eirik; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2015)
      Solving realistic problems related to flow in porous media to desired accuracy may be prohibitively expensive with available computing resources. Multiscale effects and nonlinearities in the governing equations are among ...