A numerical integration scheme for special quadrilateral finite elements for the Helmholtz equation

被引：10

作者：

Sugimoto, R ^{[1
]}

Bettess, P ^{[1
]}

Trevelyan, J ^{[1
]}

机构：

[1] Univ Durham, Sch Engn, Sci Labs, Durham DH1 3LE, England

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2003年 / 19卷 / 03期

关键词：

short waves; finite elements; special finite elements; semi-analytical integration; numerical integration;

D O I：

10.1002/cnm.584

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is an extension to an earlier paper dealing with the general problem of integrating special wave elements and specifically deals with quadrilateral elements, which have their own unique problems. The theory for integrating quadrilateral wave finite elements for the solution of the Helmholtz equation for very short waves is presented. The results are compared with those obtained using large numbers of Gauss-Legendre integration points. Copyright (C) 2003 John Wiley Sons, Ltd.

引用

页码：233 / 245

页数：13

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