• Efficient water table evolution discretization using domain transformation 

      Boon, Wietse; Balbarini, Nicola; Binning, Philip John; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2017-02)
      Domain transformation methods are useful techniques for solving problems on non-stationary domains. In this work, we consider the evolution of the water table in an unconfined aquifer. This nonlinear, time-dependent problem ...
    • Functional analysis and exterior calculus on mixed-dimensional geometries 

      Boon, Wietse; Nordbotten, Jan Martin; Vatne, Jon Eivind (Journal article; Peer reviewed, 2020-07-12)
      We are interested in differential forms on mixed-dimensional geometries, in the sense of a domain containing sets of d-dimensional manifolds, structured hierarchically so that each d-dimensional manifold is contained in ...
    • Mixed-dimensional auxiliary space preconditioners 

      Budisa, Ana; Boon, Wietse; Hu, Xiaozhe (Journal article; Peer reviewed, 2020)
      This work introduces nodal auxiliary space preconditioners for discretizations of mixed-dimensional partial differential equations. We first consider the continuous setting and generalize the regular decomposition to this ...
    • 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 ...
    • Stable mixed finite elements for linear elasticity with thin inclusions 

      Boon, Wietse; Nordbotten, Jan Martin (Journal article; Peer reviewed, 2021)
      We consider mechanics of composite materials in which thin inclusions are modeled by lower-dimensional manifolds. By successively applying the dimensional reduction to junctions and intersections within the material, a ...