Weighted integral solvers for elastic scattering by open arcs in two dimensions

doi:10.1002/nme.6639

	Weighted integral solvers for elastic scattering by open arcs in two dimensions
	Bruno, Oscar P.2; Xu, Liwei 3; Yin, Tao 1,2
刊名	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
	2021-02-25
页码	18
关键词	Calderó n relation elasticity open arc second‐ kind integral solver
ISSN号	0029-5981
DOI	10.1002/nme.6639
英文摘要	We present new methodologies for the numerical solution of problems of elastic scattering by open arcs in two dimensions. The algorithms utilize weighted versions of the classical elastic integral operators associated with Dirichlet and Neumann boundary conditions, where the integral weight accounts for (and regularizes) the singularity of the integral-equation solutions at the open-arc endpoints. Crucially, the method also incorporates a certain "open-arc elastic Calderon relation" introduced in this article, whose validity is demonstrated on the basis of numerical experiments, but whose rigorous mathematical proof is left for future work. (In fact, the aforementioned open-arc elastic Calderon relation generalizes a corresponding elastic Calderon relation for closed surfaces, which is also introduced in this article, and for which a rigorous proof is included.) Using the open-surface Calderon relation in conjunction with spectrally accurate quadrature rules and the Krylov-subspace linear algebra solver GMRES, the proposed overall open-arc elastic solver produces results of high accuracy in small number of iterations, for both low and high frequencies. A variety of numerical examples in this article demonstrate the accuracy and efficiency of the proposed methodology.
资助项目	Air Force Office of Scientific Research[FA9550-15-1-0043] ; Defense Advanced Research Projects Agency[HR00111720035] ; National Science Foundation[DMS-1714169] ; Office of Naval Research[N00014-16-1-2808]
WOS研究方向	Engineering ; Mathematics
语种	英语
出版者	WILEY
WOS记录号	WOS:000621659000001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58212]
专题	中国科学院数学与系统科学研究院
通讯作者	Bruno, Oscar P.
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.CALTECH, Dept Comp & Math Sci, 1200 East Calif Blvd, Pasadena, CA 91125 USA 3.Univ Elect Sci & Technol China, Sch Math Sci, Chengdu, Peoples R China
推荐引用方式 GB/T 7714	Bruno, Oscar P.,Xu, Liwei,Yin, Tao. Weighted integral solvers for elastic scattering by open arcs in two dimensions[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,2021:18.
APA	Bruno, Oscar P.,Xu, Liwei,&Yin, Tao.(2021).Weighted integral solvers for elastic scattering by open arcs in two dimensions.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING,18.
MLA	Bruno, Oscar P.,et al."Weighted integral solvers for elastic scattering by open arcs in two dimensions".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2021):18.