• Domain decomposition preconditioning for non-linear elasticity problems 

      Keilegavlen, Eirik; Skogestad, Jan Ole; Nordbotten, Jan Martin (Conference object; 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. ...
    • Solution strategies for nonlinear conservation laws 

      Skogestad, Jan Ole (Doctoral thesis, 2015-08-21)
      Nonlinear conservation laws form the basis for models for a wide range of physical phenomena. Finding an optimal strategy for solving these problems can be challenging, and a good strategy for one problem may fail spectacularly ...
    • 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 ...