KMS Of Academy of mathematics and systems sciences, CAS
| Uniform convergence and Schwarz method for the mortar projection nonconforming and mixed element methods for nonselfadjoint and indefinite problems | |
| Chen, JR; Xu, XJ | |
| 2002 | |
| Source Publication | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
 |
| ISSN | 0045-7825 |
| Volume | 191Issue:15-16Pages:1677-1699 |
| Abstract | In this paper, two mortar versions of the so-called projection nonconforming and the mixed element methods are proposed, respectively. for nonselfadjoint and indefinite second-order elliptic problems. It is proven that the mortar mixed element method is equivalent to the mortar projection nonconforming element method, Based on this equivalence., the existence. uniqueness. and uniform convergence of the solution for mortar mixed element method are shown only under minimal regularity assumption. Meanwhile, the optimal error estimate is obtained under certain regularity assumption. Furthermore, an additive Schwarz preconditioning method is proposed for solving the discrete problem and the nearly optimal convergence rate for the preconditioned GMRES method is proven under minimal regularity assumption. Finally, the practical implementation of the method is adderssed and numerical experiments are presented. (C) 2002 Elsevier Science B.V. All rights reserved. |
| Language | 英语 |
| WOS Research Area | Engineering ; Mathematics ; Mechanics |
| WOS Subject | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics |
| WOS ID | WOS:000173630400007 |
| Publisher | ELSEVIER SCIENCE SA |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/17223 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Xu, XJ |
| Affiliation | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China 2.Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China |
| Recommended Citation GB/T 7714 | Chen, JR,Xu, XJ. Uniform convergence and Schwarz method for the mortar projection nonconforming and mixed element methods for nonselfadjoint and indefinite problems[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2002,191(15-16):1677-1699. |
| APA | Chen, JR,&Xu, XJ.(2002).Uniform convergence and Schwarz method for the mortar projection nonconforming and mixed element methods for nonselfadjoint and indefinite problems.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,191(15-16),1677-1699. |
| MLA | Chen, JR,et al."Uniform convergence and Schwarz method for the mortar projection nonconforming and mixed element methods for nonselfadjoint and indefinite problems".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 191.15-16(2002):1677-1699. |
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