Covolume techniques for anisotropic media
type: Item
instance of: scholarly article
title: Covolume techniques for anisotropic media
zbMATH Open document ID: 0734.65088
DOI: 10.1007/BF01385505
author: Xiaohua Hu
author: Roy Nicolaides
published in: Numerische Mathematik
publication date: 1992-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133618
review text: The covolume method, a new approach applicable on general meshes, is extended to discretize and numerically solve the div-curl system in anisotropic media. The covolume method gives simple schemes and good approximations to the solution of the div-curl system. It works directly with the system and utilizes dual pairs of meshes that are orthogonally related. Central to the approach is the introduction of field components tangent and normal to the edges of one of the meshes, and the employment of dual discretizations on the dual mesh pairs. The discretization procedures, schemes and error analysis are presented. The convergence of the method is proved.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A25
zbMATH DE Number: 4215322
zbMATH Keywords: complementary volume
zbMATH Keywords: covolume method
zbMATH Keywords: div-curl system
zbMATH Keywords: anisotropic media
zbMATH Keywords: dual pairs of meshes
zbMATH Keywords: dual discretizations
zbMATH Keywords: error analysis
zbMATH Keywords: convergence
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4215322