The Ultra Weak Variational Formulation Using Bessel Basis Functions

被引：17
作者：
Luostari, Teemu [1 ]
Huttunen, Tomi [1 ]
Monk, Peter [2 ]
机构：
[1] Univ Eastern Finland, Dept Appl Phys, FI-70211 Kuopio, Finland
[2] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA
来源：
COMMUNICATIONS IN COMPUTATIONAL PHYSICS | 2012年 / 11卷 / 02期
关键词：
The ultra weak variational formulation; Helmholtz problem; planewave basis; Bessel basis; non-polynomial basis; DISCONTINUOUS GALERKIN METHODS; LEAST-SQUARES METHOD; PLANE-WAVES; EQUATIONS; MODEL;
D O I：
10.4208/cicp.121209.040111s
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate the ultra weak variational formulation (UWVF) of the 2-D Helmholtz equation using a new choice of basis functions. Traditionally the UWVF basis functions are chosen to be plane waves. Here, we instead use first kind Bessel functions. We compare the performance of the two bases. Moreover, we show that it is possible to use coupled plane wave and Bessel bases in the same mesh. As test cases we shall consider propagating plane and evanescent waves in a rectangular domain and a singular 2-D Helmholtz problem in an L-shaped domain.
引用
收藏
页码：400 / 414
页数：15
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