Browsing Department of Mathematics by Journals "Computers and Mathematics with Applications"

Now showing items 1-4 of 4

    • An adaptive solution strategy for Richards' equation 

      Stokke, Jakob Seierstad; Mitra, Koondanibha; Storvik, Erlend; Both, Jakub Wiktor; Radu, Florin Adrian (Journal article; Peer reviewed, 2023)
      Flow in variably saturated porous media is typically modeled by the Richards equation, a nonlinear elliptic-parabolic equation which is notoriously challenging to solve numerically. In this paper, we propose a robust and ...

    • Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem 

      Kumar, Kundan; Kyas, Svetlana; Nordbotten, Jan Martin; Repin, Sergey (Journal article; Peer reviewed, 2021)
      The paper is concerned with guaranteed a posteriori error estimates for a class of evolutionary problems related to poroelastic media governed by the quasi-static linear Biot equations. The system is decoupled by employing ...

    • Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport 

      Brun, Mats Kirkesæther; Ahmed, Elyes; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian (Journal article; Peer reviewed, 2020)
      This paper concerns monolithic and splitting-based iterative procedures for the coupled nonlinear thermo-poroelasticity model problem. The thermo-poroelastic model problem we consider is formulated as a three-field system ...

    • A robust solution strategy for the Cahn-Larché equations 

      Storvik, Erlend; Both, Jakub Wiktor; Nordbotten, Jan Martin; Radu, Florin Adrian (Journal article; Peer reviewed, 2023)
      In this paper we propose a solution strategy for the Cahn-Larché equations, which is a model for linearized elasticity in a medium with two elastic phases that evolve subject to a Ginzburg-Landau type energy functional. ...