AN ABSOLUTELY STABLE hp-HDG METHOD FOR THE TIME-HARMONIC MAXWELL EQUATIONS WITH HIGH WAVE NUMBER

被引：21

作者：

Lu, Peipei ^{[1
]}

Chen, Huangxin ^{[2
,3
]}

Qiu, Weifeng ^{[4
]}

机构：

[1] Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[3] Xiamen Univ, Fujian Prov Key Lab Math Modeling & High Performa, Xiamen 361005, Peoples R China

[4] City Univ Hong Kong, Dept Math, 83 Tat Chee Ave, Kowloon, Hong Kong, Peoples R China

来源：

MATHEMATICS OF COMPUTATION | 2017年 / 86卷 / 306期

关键词：

DISCONTINUOUS GALERKIN METHODS; MIXED FINITE-ELEMENTS; POLYNOMIAL L-2-PROJECTION; ERROR ANALYSIS; TRACE;

D O I：

10.1090/mcom/3150

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present and analyze a hybridizable discontinuous Galerkin (HDG) method for the time-harmonic Maxwell equations. The divergencefree condition is enforced on the electric field, then a Lagrange multiplier is introduced, and the problem becomes the solution of a mixed curl-curl formulation of the Maxwell's problem. The method is shown to be an absolutely stable HDG method for the indefinite time-harmonic Maxwell equations with high wave number. By exploiting the duality argument, the dependence of convergence of the HDG method on the wave number., the mesh size h and the polynomial order p is obtained. Numerical results are given to verify the theoretical analysis.

引用

页码：1553 / 1577

页数：25

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