This book describes the theoretical and computational aspects of the mimetic finite
difference method for a wide class of multidimensional elliptic problems, which includes …

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 …

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

New mimetic finite difference discretizations of diffusion problems on unstructured
polyhedral meshes with strongly curved (non-planar) faces are developed. The material …

This paper presents the relationships between some numerical methods suitable for a
heterogeneous elliptic equation with application to reservoir simulation. The methods …

In this paper, we first propose and analyze a locally conservative, lowest order staggered
discontinuous Galerkin method of minimal dimension on general quadrilateral/polygonal …

In this paper, a locally conservative, lowest order staggered discontinuous Galerkin method
is developed for the Stokes equations. The proposed method allows rough grids and is …

In this paper we propose a locally conservative, lowest-order staggered discontinuous
Galerkin method for the coupled Stokes–Darcy problem on general quadrilateral and …

This paper presents the MPFA O-method for quadrilateral grids, and gives convergence
rates for the potential and the normal velocities. The convergence rates are estimated from …

Control‐volume discretization methods are applicable for problems that require good
numerical approximations of fluxes. Here, a class of flux‐continuous discretization methods …