DIRECT DISCRETIZATION OF PLANAR DIV-CURL PROBLEMS

被引：106

作者：

NICOLAIDES, RA

机构：

[1] Carnegie Mellon Univ, Pittsburgh, PA

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1992年 / 29卷 / 01期

关键词：

CAUCHY-RIEMANN EQUATIONS; DIV-CURL EQUATIONS; FINITE VOLUME METHODS; UNSTRUCTURED MESH TECHNIQUES;

D O I：

10.1137/0729003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A control volume method is proposed for planar div-curl systems. The method is independent of potential and least squares formulations, and works directly with the div-curl system. The novelty of the technique lies in its use of a single local vector field component and two control volumes rather than the other way round. A discrete vector field theory comes quite naturally from this idea and is developed in the paper. Error estimates are proved for the method, and other ramifications investigated.

引用

页码：32 / 56

页数：25

共 14 条

[1] SOME ERROR-ESTIMATES FOR THE BOX METHOD [J].