The mimetic finite difference (MFD) method mimics fundamental properties of mathematical
and physical systems including conservation laws, symmetry and positivity of solutions …

Bibliography Page 1 Bibliography [1] Y. Achdou, C. Bernardi, and F. Coquel, A priori and a
posteriori analysis of finite volume dis- cretizations of Darcy’s equations, Numer. Math. 96 (2003) …

A symmetric discretization scheme for heterogeneous anisotropic diffusion problems on
general meshes is developed and studied. The unknowns of this scheme are the values at …

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 …

In the last few decades the concepts of structure-preserving discretization, geometric
integration and compatible discretizations have emerged as subfields in the numerical …

We present a new finite volume scheme for anisotropic heterogeneous diffusion problems
on unstructured irregular grids, which simultaneously gives an approximation of the solution …

We develop a local flux mimetic finite difference method for second order elliptic equations
with full tensor coefficients on polyhedral meshes. To approximate the velocity (vector …

In this paper, we develop a new mixed finite element method for elliptic problems on general
quadrilateral and hexahedral grids that reduces to a cell-centered finite difference scheme …

We study the mimetic finite difference discretization of diffusion-type problems on
unstructured polyhedral meshes. We demonstrate high accuracy of the approximate …

We develop a mixed finite element method for elliptic problems on hexahedral grids that
reduces to cell-centered finite differences. The paper is an extension of our earlier paper for …