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A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES

FRANCO BREZZI

Università di Pavia, Department of Mathematics, Pavia, Italy

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KONSTANTIN LIPNIKOV

Los Alamos National Laboratory, Theoretical Division, MS B284, Los Alamos, NM, 87545, USA

Corresponding author.

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VALERIA SIMONCINI

Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato, 5, I-40127 Bologna, Italy

IMATI-CNR, Pavia and CIRSA, Ravenna, Italy

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https://doi.org/10.1142/S0218202505000832Cited by:298 (Source: Crossref)

Abstract

A family of inexpensive discretization schemes for diffusion problems on unstructured polygonal and polyhedral meshes is introduced. The material properties are described by a full tensor. The theoretical results are confirmed with numerical experiments.

Keywords:

AMSC: 65N06, 65N12, 65F05

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