A robust multilevel method for hybridizable discontinuous Galerkin method for the Helmholtz equation

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	A robust multilevel method for hybridizable discontinuous Galerkin method for the Helmholtz equation
	Chen, Huangxin ; Lu, Peipei ; Xu, Xuejun ; Chen HX(陈黄鑫)
刊名	http://dx.doi.org/10.1016/j.jcp.2014.01.042
	2014-05-01
关键词	SWEEPING PRECONDITIONER ERROR ANALYSIS WAVE-NUMBER
英文摘要	National Natural Science Foundation of China [11201394]; Natural Science Foundation of Fujian Province [2013J05016]; National Basic Research Program [2011CB30971]; National Science Foundation of China [11171335, 11225107]; A robust multilevel preconditioner based on the hybridizable discontinuous Galerkin method for the Helmholtz equation with high wave number is presented in this paper. There are two keys in our algorithm, one is how to choose a suitable intergrid transfer operator, and the other is using GMRES smoothing on the coarse grids. The multilevel method is performed as a preconditioner in the outer GMRES iteration. To give a quantitative insight of our algorithm, we use local Fourier analysis to analyze the convergence property of the proposed multilevel method. Numerical results show that for fixed wave number, the convergence of the algorithm is mesh independent. Moreover, the performance of the algorithm depends relatively mildly on wave number. (C) 2014 Elsevier Inc. All rights reserved.
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91345]
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 robust multilevel method for hybridizable discontinuous Galerkin method for the Helmholtz equation[J]. http://dx.doi.org/10.1016/j.jcp.2014.01.042,2014.
APA	Chen, Huangxin,Lu, Peipei,Xu, Xuejun,&陈黄鑫.(2014).A robust multilevel method for hybridizable discontinuous Galerkin method for the Helmholtz equation.http://dx.doi.org/10.1016/j.jcp.2014.01.042.
MLA	Chen, Huangxin,et al."A robust multilevel method for hybridizable discontinuous Galerkin method for the Helmholtz equation".http://dx.doi.org/10.1016/j.jcp.2014.01.042 (2014).