222 citations · 937 across the 65 of their papers we have counts for
6 papers · 1 filter
A Finite Volume Method for Elastic Waves in Heterogeneous, Anisotropic and Fractured Media
Ingrid Kristine Jacobsen, Inga Berre, Jan Martin Nordbotten +1
Numerical modeling of elastic wave propagation in the subsurface requires applicability to heterogeneous, anisotropic and discontinuous media, as well as support of free surface bo…
Mixed finite element and TPSA finite volume methods for linearized elasticity and Cosserat materials
Jan Martin Nordbotten, Wietse M. Boon, Omar Duran +1
Cosserat theory of elasticity is a generalization of classical elasticity that allows for asymmetry in the stress tensor by taking into account micropolar rotations in the medium.…
Network Inpainting via Optimal Transport
Enrico Facca, Jan Martin Nordbotten, Erik Andreas Hanson
In this work, we present a novel tool for reconstructing networks from corrupted images. The reconstructed network is the result of a minimization problem that has a misfit term wi…
Two-point stress approximation: A simple and robust finite volume method for linearized (poro-)mechanics and Stokes flow
Jan Martin Nordbotten, Eirik Keilegavlen
In this paper, we construct a simple and robust two-point finite volume discretization applicable to isotropic linearized elasticity, valid in also in the incompressible Stokes' li…
Mixed finite element methods for linear Cosserat equations
Wietse Marijn Boon, Omar Duran, Jan Martin Nordbotten
We consider the equilibrium equations for a linearized Cosserat material and provide two perspectives concerning well-posedness. First, the system can be viewed as the Hodge Laplac…
An abstract approximation tool for mixed-dimensional and equidimensional modeling
Daniel Førland Holmen, Jan Martin Nordbotten, Jon Eivind Vatne
Many coupled problems in engineering and science can be described by elliptic partial differential equations on adjacent domains, where the coupling can be considered either as a t…