Weighted integral solvers for elastic scattering by open arcs in two dimensions
文献类型：期刊论文
| 作者 | Bruno, Oscar P.1; Xu, Liwei2; Yin, Tao1,3 |
| 刊名 | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000621659000001 |
| 出版者 | WILEY |
| 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.CALTECH, Dept Comp & Math Sci, 1200 East Calif Blvd, Pasadena, CA 91125 USA 2.Univ Elect Sci & Technol China, Sch Math Sci, Chengdu, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。