A STUDY OF DISCRETIZATION ERROR IN THE FINITE-ELEMENT APPROXIMATION OF WAVE SOLUTIONS

被引：69

作者：

LEE, R ^{[1
]}

CANGELLARIS, AC ^{[1
]}

机构：

[1] UNIV ARIZONA,DEPT ELECT & COMP ENGN,TUCSON,AZ 85721

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 1992年 / 40卷 / 05期

关键词：

D O I：

10.1109/8.142629

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A dispersion analysis is used to study the errors caused by the spatial discretization of the finite element method for the two-dimensional scalar Helmholtz equation. It is shown that the error can be determined analytically for a uniform mesh of infinite extent. Numerical results are presented to show the effects of several parameters on the error. These parameters are the nodal density, the electrical size of mesh, the direction of propagation of the incident wave, the type of element, and the type of boundary condition.

引用

页码：542 / 549

页数：8

共 12 条

[1] BOUNDARY-CONDITIONS FOR THE NUMERICAL-SOLUTION OF ELLIPTIC-EQUATIONS IN EXTERIOR REGIONS [J].