A hybrid-Trefftz finite element model for Helmholtz problem

被引：10

作者：

Sze, K. Y. ^{[1
]}

Cheung, Y. K. ^{[2
]}

机构：

[1] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China

[2] Univ Hong Kong, Dept Civil Engn, Hong Kong, Hong Kong, Peoples R China

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2008年 / 24卷 / 12期

关键词：

hybrid; Trefftz; Helmholtz; wave propagation; finite element;

D O I：

10.1002/cnm.1094

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, a hybrid-Trefftz four-node quadrilateral element model is formulated for Helmholtz problem. In this model, two Helmholtz approximations are defined. The first approximation is obtained by nodal interpolation, and the second approximation is truncated from a Trefftz solution set. A hybrid variational functional is employed to enforce the equality of and other necessary conditions on the two approximations. From the numerical tests, it can be seen that the hybrid model is markedly more accurate than the conventional finite element model. Copyright (C) 2008 John Wiley & Soils, Ltd.

引用

页码：2047 / 2060

页数：14

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