• A Mixed Approach to the Poisson Problem with Line Sources 

      Gjerde, Ingeborg Gåseby; Kumar, Kundan; Nordbotten, Jan Martin (Journal article; Peer reviewed, 2021)
      In this work we consider the dual-mixed variational formulation of the Poisson equation with a line source. The analysis and approximation of this problem is nonstandard, as the line source causes the solutions to be ...
    • Robust Discretization of Flow in Fractured Porous Media 

      Boon, Wietse; Nordbotten, Jan Martin; Yotov, Ivan (Peer reviewed; Journal article, 2018)
      Flow in fractured porous media represents a challenge for discretization methods due to the disparate scales and complex geometry. Herein we propose a new discretization, based on the mixed finite element method and mortar ...
    • Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models 

      Ahmed, Elyes; Fumagalli, Alessio; Budisa, Ana; Keilegavlen, Eirik; Nordbotten, Jan Martin; Radu, Adrian Florin (Journal article; Peer reviewed, 2021)
      In this work, we consider compressible single-phase flow problems in a porous medium containing a fracture. In the fracture, a nonlinear pressure-velocity relation is prescribed. Using a non-overlapping domain decomposition ...