A HYBRIDIZABLE WEAK GALERKIN METHOD FOR THE HELMHOLTZ EQUATION WITH LARGE WAVE NUMBER: hp ANALYSIS

被引：0
|
作者：
Wang, Jiangxing [1 ]
Zhang, Zhimin [1 ,2 ]
机构：
[1] Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China
[2] Wayne State Univ, Dept Math, Detroit, MI 48202 USA
来源：
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2017年 / 14卷 / 4-5期
基金：
美国国家科学基金会;
关键词：
Weak Galerkin method; hybridizable method; Helmholtz equation; large wave number; error estimates; FINITE-ELEMENT-METHOD; PREASYMPTOTIC ERROR ANALYSIS; 2ND-ORDER ELLIPTIC PROBLEMS; CIP-FEM; VERSION; APPROXIMATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, an hp hybridizable weak Galerkin (hp-HWG) method is introduced to solve the Helmholtz equation with large wave number in two and three dimensions. By choosing a specific parameter and using the duality argument, we prove that the proposed method is stable under certain mesh constraint. Error estimate is obtained by using the stability analysis and the duality argument. Several numerical results are provided to confirm our theoretical results.
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页码：744 / 761
页数：18
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