HYBRID LINEAR AND QUADRATIC FINITE ELEMENT MODELS FOR 3D HELMHOLTZ PROBLEMS

被引：0
|
作者：
Q.H.Zhang [1 ]
K.Y.Sze [2 ]
机构：
[1] Guangdong Province Key Laboratory of Computational Science,Sun Yat-Sen University
[2] Department of Mechanical Engineering,The University of Hong Kong,Pokfulam
来源：
Acta Mechanica Solida Sinica | 2013年 / 26卷 / 06期
关键词：
finite element; hybrid; Helmholtz; Bessel; plane-wave; spherical-wave; radial basis function;
D O I：
暂无
中图分类号：
O302 [力学中的数学方法];
学科分类号：
0701 ;
摘要：
In this paper,linear and quadratic finite element models are devised for the threedimensional Helmholtz problem by using a hybrid variational functional.In each element,continuous and discontinuous Helmholtz fields are defined with their equality enforced over the element boundary in a weak sense.The continuous field is based on the C0nodal interpolation and the discontinuous field can be condensed before assemblage.Hence,the element can readily be incorporated seamlessly into the standard finite element program framework.Discontinuous fields constructed by the plane-wave,Bessel and singular spherical-wave solutions are attempted.Numerical tests demonstrate that some of the element models are consistently and considerably more accurate than their conventional counterparts.
引用
收藏
页码：603 / 618
页数：16
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