This paper reviews and extends the theory and application of mimetic finite difference
methods for the solution of diffusion problems in strongly heterogeneous anisotropic …

About 10 years ago, Mixed and Hybrid Finite Element Methods by F. Brezzi and M. Fortin
went out of print and we were asked to allow a second printing. The world had evolved and …

Mixed finite elements are a numerical method becoming more and more popular in
geosciences. This method is well suited for solving elliptic and parabolic partial differential …

We develop a mixed finite element method for single phase flow in porous media that
reduces to cell-centered finite differences on quadrilateral and simplicial grids and performs …

We have constructed reliable finite difference methods for approximating the solution to
Maxwell's equations using accurate discrete analogs of differential operators that satisfy the …

We describe and present results from a finite-volume (FV) parallel computer code for forward
modelling the Maxwell viscoelastic response of a 3-D, self-gravitating, elastically …

A fractured poroelastic body is considered where the opening of the fractures is governed by
a nonpenetration law, whereas slip is described by a Coulomb‐type friction law. This …

The generation of computational meshes of complex geological objects is a challenge: their
shape needs to be retained, resolution has to adapt to local detail, and variations of material …

We derive a cell-centered 2-D diffusion differencing scheme for arbitrary quadrilateral
meshes inr-zgeometry using a local support-operators method. Our method is said to be …

This paper investigates different variants of the multipoint flux approximation (MPFA) O-
method in 2D, which rely on a transformation to an orthogonal reference space. This …