KMS Of Academy of mathematics and systems sciences, CAS
| AN ACCURATE HYPERSINGULAR BOUNDARY INTEGRAL EQUATION METHOD FOR DYNAMIC POROELASTICITY IN TWO DIMENSIONS | |
| Zhang, Lu1; Xu, Liwei1; Yin, Tao2,3 | |
| 2021 | |
| Source Publication | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| ISSN | 1064-8275 |
| Volume | 43Issue:3Pages:B784-B810 |
| Abstract | 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. |
| Keyword | poroelasticity hyper-singular operator Calderon relation regularized integral equation |
| DOI | 10.1137/20M1360712 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | Key Project of the Major Research Plan of NSFC[91630205] ; NSFC[11771068] ; NSFC[12071060] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000674142500035 |
| Publisher | SIAM PUBLICATIONS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59057 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Zhang, Lu |
| Affiliation | 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 |
| Recommended Citation 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. |
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