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

被引：41

作者：

Bettess, P

Shirron, J

Laghrouche, O

Peseux, B

Sugimoto, R

Trevelyan, J

机构：

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

[2] SFA Inc, USN, Res Lab, Largo, MD 20774 USA

[3] Ecole Cent Nantes, F-44321 Nantes, France

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2003年 / 56卷 / 04期

关键词：

short waves; finite elements; special finite elements; semi-analytical integration; numerical integration; partition of unity method (PUM);

D O I：

10.1002/nme.575

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The theory for integrating the element matrices for rectangular, triangular and quadrilateral finite elements for the solution of the Helmholtz equation for very short waves is presented. A numerical integration scheme is developed. Samples of Maple and Fortran code for the evaluation of integration abscissae and weights are made available. The results are compared with those obtained using large numbers of Gauss-Legendre integration points for a range of testing wave problems. The results demonstrate that the method gives correct results, which gives confidence in the procedures, and show that large savings in computation time can be achieved. Copyright (C) 2002 John Wiley Sons, Ltd.

引用

页码：531 / 552

页数：22

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