AN ACCURATE HYPERSINGULAR BOUNDARY INTEGRAL EQUATION METHOD FOR DYNAMIC POROELASTICITY IN TWO DIMENSIONS

doi:10.1137/20M1360712

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	AN ACCURATE HYPERSINGULAR BOUNDARY INTEGRAL EQUATION METHOD FOR DYNAMIC POROELASTICITY IN TWO DIMENSIONS
	Zhang, Lu 1; Xu, Liwei 1; Yin, Tao 2,3
	2021
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	43 期号:3 页码:B784-B810
摘要	This paper is concerned with the boundary integral equation method for solving the exterior Neumann boundary value problem of dynamic poroelasticity in two dimensions. The main contribution of this work consists of two aspescts: the proposal of a novel regularized boundary integral equation, and the presentation of new regularized formulations of the strongly singular and hyper-singular boundary integral operators. First, turning to the spectral properties of the doublelayer operator and the corresponding Calderon relation of the poroelasticity, we propose the novel low-GMRES-iteration integral equation whose eigenvalues are bounded away from zero and infinity. Second, with the help of the classical idea of using Gunter derivatives and integration-by-parts, we reformulate the strongly singular and hyper-singular integral operators into combinations of the weakly singular operators and the tangential derivatives. The accuracy and efficiency of the proposed methodology are demonstrated through several numerical examples.
关键词	poroelasticity hyper-singular operator Calderon relation regularized integral equation
DOI	10.1137/20M1360712
收录类别	SCI
语种	英语
资助项目	Key Project of the Major Research Plan of NSFC[91630205] ; NSFC[11771068] ; NSFC[12071060]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000674142500035
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59057
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Lu
作者单位	1.Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Lu,Xu, Liwei,Yin, Tao. AN ACCURATE HYPERSINGULAR BOUNDARY INTEGRAL EQUATION METHOD FOR DYNAMIC POROELASTICITY IN TWO DIMENSIONS[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2021,43(3):B784-B810.
APA	Zhang, Lu,Xu, Liwei,&Yin, Tao.(2021).AN ACCURATE HYPERSINGULAR BOUNDARY INTEGRAL EQUATION METHOD FOR DYNAMIC POROELASTICITY IN TWO DIMENSIONS.SIAM JOURNAL ON SCIENTIFIC COMPUTING,43(3),B784-B810.
MLA	Zhang, Lu,et al."AN ACCURATE HYPERSINGULAR BOUNDARY INTEGRAL EQUATION METHOD FOR DYNAMIC POROELASTICITY IN TWO DIMENSIONS".SIAM JOURNAL ON SCIENTIFIC COMPUTING 43.3(2021):B784-B810.