Improvement of System Quality in a Generalized Finite Element Method Using Discrete Curvelet Transform

被引：0
|
作者：
Mandinejad, Naier [1 ]
Mota, Hilton O. [2 ]
Silva, Elson J. [2 ]
Adriano, Ricardo [2 ]
机构：
[1] Univ Fed Minas Gerais, Grad Program Elect Engn, BR-31270901 Belo Horizonte, MG, Brazil
[2] Univ Fed Minas Gerais, Dept Elect Engn, BR-31270901 Belo Horizonte, MG, Brazil
来源：
2016 IEEE CONFERENCE ON ELECTROMAGNETIC FIELD COMPUTATION (CEFC) | 2016年
关键词：
Fast Discrete Curvelet Transform; Generalized Finite Element Method; Plane wave enrichment;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The generalized finite element method (GFEM) enriched by Plane Waves has been proved suitable to solve the two-dimensional Helmholtz equation. However, when the numbers of unknowns increase, some difficulties arise, such as bad condition number. To reduce the total number of degrees of freedom, this paper presents a method to identify the most significant plane waves in different locations in the problem. It is based on the analysis of the traditional Finite Element Method solution with a poor mesh resolution using the Fast Discrete Curvelet Transform (FDCT) through wedge wrapping.
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