222 citations · 937 across the 65 of their papers we have counts for
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Finite volume methods for elasticity with weak symmetry
Eirik Keilegavlen, Jan Martin Nordbotten
We introduce a new cell-centered finite volume discretization for elasticity with weakly enforced symmetry of the stress tensor. The method is motivated by the need for robust disc…
A convergent mass conservative numerical scheme based on mixed finite elements for two-phase flow in porous media
Florin Adrian Radu, Kundan Kumar, Jan Martin Nordbotten +1
In this work we present a mass conservative numerical scheme for two-phase flow in porous media. The model for flow consists on two fully coupled, non-linear equations: a degenerat…
Stable cell-centered finite volume discretization for Biot equations
Jan Martin Nordbotten
In this paper we discuss a new discretization for the Biot equations. The discretization treats the coupled system of deformation and flow directly, as opposed to combining discret…
Convergence of a cell-centered finite volume discretization for linear elasticity
Jan Martin Nordbotten
We show convergence of a cell-centered finite volume discretization for linear elasticity. The discretization, termed the MPSA method, was recently proposed in the context of geolo…