KMS Of Academy of mathematics and systems sciences, CAS
| Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media | |
| Yuan, Long1; Hu, Qiya2,3 | |
| 2021-09-01 | |
| Source Publication | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| ISSN | 0898-1221 |
| Volume | 97Pages:355-374 |
| Abstract | In this paper we are concerned with plane wave discontinuous Galerkin (PWDG) methods for Helmholtz equation and time-harmonic Maxwell equations in three-dimensional anisotropic media, for which the coefficients of the equations are matrices instead of numbers. We first define novel plane wave basis functions based on rigorous choices of scaling transformations and coordinate transformations. Then we derive the error estimates of the resulting approximate solutions with respect to the condition number of the coefficient matrices, under a new assumption on the shape regularity of polyhedral meshes. Numerical results verify the validity of the theoretical results, and indicate that the approximate solutions generated by the proposed PWDG method possess high accuracy. |
| Keyword | Helmholtz equation Time-harmonic Maxwell's equations Anisotropic media Plane wave basis Error estimates |
| DOI | 10.1016/j.camwa.2021.06.008 |
| Indexed By | SCI |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000688441500008 |
| Publisher | PERGAMON-ELSEVIER SCIENCE LTD |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59160 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Hu, Qiya |
| Affiliation | 1.Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, 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 | Yuan, Long,Hu, Qiya. Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2021,97:355-374. |
| APA | Yuan, Long,&Hu, Qiya.(2021).Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media.COMPUTERS & MATHEMATICS WITH APPLICATIONS,97,355-374. |
| MLA | Yuan, Long,et al."Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media".COMPUTERS & MATHEMATICS WITH APPLICATIONS 97(2021):355-374. |
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