A HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD FOR THE HELMHOLTZ EQUATION WITH HIGH WAVE NUMBER

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	A HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD FOR THE HELMHOLTZ EQUATION WITH HIGH WAVE NUMBER
	Chen, Huangxin ; Lu, Peipei ; Xu, Xuejun ; Chen HX(陈黄鑫)
刊名	http://dx.doi.org/10.1137/120883451
	2013
关键词	FINITE-ELEMENT METHOD EXTERIOR DOMAINS PARTITION
英文摘要	National Natural Science Foundation of China [11201394]; Fundamental Research Funds for the Central Universities [2012121003]; National Basic Research Program [2011CB30971]; National Science Foundation of China [11171335, 11225107]; This paper analyzes the error estimates of the hybridizable discontinuous Galerkin (HDG) method for the Helmholtz equation with high wave number in two and three dimensions. The approximation piecewise polynomial spaces we deal with are of order p >= 1. Through choosing a specific parameter and using the duality argument, it is proved that the HDG method is stable without any mesh constraint for any wave number kappa. By exploiting the stability estimates, the dependence of convergence of the HDG method on kappa, h, and p is obtained. Numerical experiments are given to verify the theoretical results.
语种	英语
出版者	SIAM PUBLICATIONS
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91201]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Chen, Huangxin,Lu, Peipei,Xu, Xuejun,et al. A HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD FOR THE HELMHOLTZ EQUATION WITH HIGH WAVE NUMBER[J]. http://dx.doi.org/10.1137/120883451,2013.
APA	Chen, Huangxin,Lu, Peipei,Xu, Xuejun,&陈黄鑫.(2013).A HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD FOR THE HELMHOLTZ EQUATION WITH HIGH WAVE NUMBER.http://dx.doi.org/10.1137/120883451.
MLA	Chen, Huangxin,et al."A HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD FOR THE HELMHOLTZ EQUATION WITH HIGH WAVE NUMBER".http://dx.doi.org/10.1137/120883451 (2013).