CONVERGENCE OF MIMETIC FINITE DIFFERENCE METHOD FOR DIFFUSION PROBLEMS ON POLYHEDRAL MESHES WITH CURVED FACES-Reference-Cited by-同舟云学术

CONVERGENCE OF MIMETIC FINITE DIFFERENCE METHOD FOR DIFFUSION PROBLEMS ON POLYHEDRAL MESHES WITH CURVED FACES

Published:2006-02 Issue:02 Volume:16 Page:275-297
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BREZZI FRANCO¹,LIPNIKOV KONSTANTIN²,SHASHKOV MIKHAIL²

Affiliation:

1. Department of Mathematics, Università di Pavia, Pavia, Italy

2. T-7 Group, Theoretical Division, Los Alamos National Laboratory, MS B284, Los Alamos, NM 87545, USA

Abstract

New mimetic finite difference discretizations of diffusion problems on unstructured polyhedral meshes with strongly curved (non-planar) faces are developed. The material properties are described by a full tensor. The optimal convergence estimates, the second order for a scalar variable (pressure) and the first order for a vector variable (velocity), are proved.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202506001157

Reference18 articles.

1. An Interior Penalty Finite Element Method with Discontinuous Elements

2. Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals

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