A CONVERGENCE ANALYSIS OF YEE SCHEME ON NONUNIFORM GRIDS

被引：122

作者：

MONK, P ^{[1
]}

SULI, E ^{[1
]}

机构：

[1] UNIV OXFORD,COMP LAB,OXFORD OX1 3QD,ENGLAND

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1994年 / 31卷 / 02期

关键词：

MAXWELL EQUATIONS; YEE SCHEME; FINITE VOLUME METHOD; NONUNIFORM MESHES; ERROR ESTIMATES;

D O I：

10.1137/0731021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Yee scheme is the principle finite difference method used in computing time domain solutions of Maxwell's equations. On a uniform grid the method is easily seen to be second-order convergent in space. This paper shows that the Yee scheme is also second-order convergent on a nonuniform mesh despite the fact that the local truncation error is (nodally) only of first order.

引用

页码：393 / 412

页数：20

共 12 条

[1] A FINITE-DIFFERENCE FORMULA FOR THE DISCRETIZATION OF D3/DX3 ON NONUNIFORM GRIDS [J].