A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES-Reference-Cited by-同舟云学术

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

Published:2005-10 Issue:10 Volume:15 Page:1533-1551
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,SIMONCINI VALERIA³⁴

Affiliation:

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

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

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

4. IMATI-CNR, Pavia and CIRSA, Ravenna, Italy

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202505000832

Reference14 articles.

1. Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry

2. Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates

3. Mixed and Hybrid Finite Element Methods

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