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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 PublicationCOMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN0045-7825
Volume191Issue:15-16Pages:1677-1699
AbstractIn 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 AreaEngineering ; Mathematics ; Mechanics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS IDWOS:000173630400007
PublisherELSEVIER SCIENCE SA
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17223
Collection中国科学院数学与系统科学研究院
Affiliation1.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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