Finite element methods with matching and nonmatching meshes for Maxwell equations with discontinuous coefficients
文献类型：期刊论文
| 作者 | Chen, ZM; Du, Q; Zou, J |
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2000-05-26 |
| 卷号 | 37期号:5页码:1542-1570 |
| 关键词 | finite element method Maxwell equations interface problems nonmatching meshes error estimates saddle point formulation extension theorem |
| ISSN号 | 0036-1429 |
| 英文摘要 | We investigate the finite element methods for solving time-dependent Maxwell equations with discontinuous coefficients in general three-dimensional Lipschitz polyhedral domains. Both matching and nonmatching finite element meshes on the interfaces are considered, and optimal error estimates for both cases are obtained. The analysis of the latter case is based on an abstract framework for nested saddle point problems, along with a characterization of the trace space for H(curl; D), a new extension theorem for H(curl; D) functions in any Lipschitz domain D, and a novel compactness argument for deriving discrete inf-sup conditions. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000087305200006 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15604]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, ZM |
| 作者单位 | 1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.Hong Kong Univ Sci & Technol, Dept Math, Clear Water Bay, Hong Kong, Peoples R China 3.Iowa State Univ, Dept Math, Ames, IA 50011 USA 4.Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, ZM,Du, Q,Zou, J. Finite element methods with matching and nonmatching meshes for Maxwell equations with discontinuous coefficients[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2000,37(5):1542-1570. |
| APA | Chen, ZM,Du, Q,&Zou, J.(2000).Finite element methods with matching and nonmatching meshes for Maxwell equations with discontinuous coefficients.SIAM JOURNAL ON NUMERICAL ANALYSIS,37(5),1542-1570. |
| MLA | Chen, ZM,et al."Finite element methods with matching and nonmatching meshes for Maxwell equations with discontinuous coefficients".SIAM JOURNAL ON NUMERICAL ANALYSIS 37.5(2000):1542-1570. |
入库方式： OAI收割
来源：数学与系统科学研究院
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