The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials

Steady state diffusion problems on non-trivial domains: support operator method integrated with direct optimized grid generation

Applied Numerical Mathematics - Applied and computational mathematics: Selected papers of the third panamerican workshop Trujillo, Peru, 24-28 April 2000

The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes

Journal of Computational Physics

Unstructured grid optimization for improved monotonicity of discrete solutions of elliptic equations with highly anisotropic coefficients

Journal of Computational Physics

Mesh locking effects in the finite volume solution of 2-D anisotropic diffusion equations

Journal of Computational Physics

Matrix approach to mimetic discretizations for differential operators on non-uniform grids

Mathematics and Computers in Simulation - Special issue: Applied and computational mathematics - selected papers of the fifth PanAmerican workshop - June 21-25, 2004, Tegucigalpa, Honduras

Large sparse linear systems arising from mimetic discretization

Computers & Mathematics with Applications

Analysis of accuracy of a finite volume scheme for diffusion equations on distorted meshes

Journal of Computational Physics

A quasi-positive family of continuous Darcy-flux finite-volume schemes with full pressure support

Journal of Computational Physics

Double-families of quasi-positive Darcy-flux approximations with highly anisotropic tensors on structured and unstructured grids

Journal of Computational Physics

The convergence of mimetic discretization for rough grids

Computers & Mathematics with Applications

Convergence of fractional step mimetic finite difference discretizations for semilinear parabolic problems

Applied Numerical Mathematics

Locally linearized fractional step methods for nonlinear parabolic problems

Journal of Computational and Applied Mathematics

Parallel solution of nonlinear parabolic problems on logically rectangular grids

PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics

A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes

Journal of Computational Physics

A family of MPFA finite-volume schemes with full pressure support for the general tensor pressure equation on cell-centered triangular grids

Journal of Computational Physics

Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems

Journal of Computational Physics

A Multipoint Flux Mixed Finite Element Method on Hexahedra

SIAM Journal on Numerical Analysis

Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes

SIAM Journal on Numerical Analysis

A Mimetic Discretization of the Stokes Problem with Selected Edge Bubbles

SIAM Journal on Scientific Computing

Quasi M-Matrix Multifamily Continuous Darcy-Flux Approximations with Full Pressure Support on Structured and Unstructured Grids in Three Dimensions

SIAM Journal on Scientific Computing

Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes

SIAM Journal on Numerical Analysis

Least-Squares spectral element method on a staggered grid

LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing

Staggered grids for three-dimensional convection of a multicomponent fluid in a porous medium

Computers & Mathematics with Applications

Energy-conserving Runge-Kutta methods for the incompressible Navier-Stokes equations

Journal of Computational Physics

Numerical results for mimetic discretization of Reissner---Mindlin plate problems

Calcolo: a quarterly on numerical analysis and theory of computation

Error analysis of multipoint flux domain decomposition methods for evolutionary diffusion problems

Journal of Computational Physics

Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms

Journal of Computational Physics

Mimetic finite difference method

Journal of Computational Physics

Mimetic scalar products of discrete differential forms

Journal of Computational Physics