KMS Of Academy of mathematics and systems sciences, CAS
Uniform convergence and preconditioning methods for projection nonconforming and mixed methods for nonselfadjoint and indefinite problems | |
Chen, JR; Li, LK | |
2000 | |
发表期刊 | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING |
ISSN | 0045-7825 |
卷号 | 185期号:1页码:75-89 |
摘要 | The purpose of this payer is to prove the existence, uniqueness and uniform convergence of the solutions of so-called projection nonconforming and mixed element methods and the equivalence between projection nonconforming element method and mixed element method with nonquasi-uniform partition for nonselfadjoint and indefinite second order elliptic problems under minimal regularity assumption. Meanwhile, the optimal error estimate of the solution of mixed element method is obtained under H-2 smoothness hypothesis for nonselfadjoint and indefinite elliptic problems without H-2 regularity. Finally, the discrete compactness result for nonconforming clement space with nonquasi-uniform partition is proven, and some preconditioning methods for projection nonconforming rind mixed clement methods with nonquasi-uniform partition are given. It is proven that the H-1-condition number of preconditioned operator is uniformly bounded and its singular values duster in a relatively small finite interval. (C) 2000 Elsevier Science S.A. All rights reserved. |
关键词 | uniform convergence preconditioning nonconforming element mixed clement indefinite problems |
语种 | 英语 |
WOS研究方向 | Engineering ; Mathematics ; Mechanics |
WOS类目 | Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics |
WOS记录号 | WOS:000086809800004 |
出版者 | ELSEVIER SCIENCE SA |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/15054 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Chen, JR |
作者单位 | 1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China 3.Fudan Univ, Dept Math, Shanghai 200433, Peoples R China 4.Fudan Univ, Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China |
推荐引用方式 GB/T 7714 | Chen, JR,Li, LK. Uniform convergence and preconditioning methods for projection nonconforming and mixed methods for nonselfadjoint and indefinite problems[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2000,185(1):75-89. |
APA | Chen, JR,&Li, LK.(2000).Uniform convergence and preconditioning methods for projection nonconforming and mixed methods for nonselfadjoint and indefinite problems.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,185(1),75-89. |
MLA | Chen, JR,et al."Uniform convergence and preconditioning methods for projection nonconforming and mixed methods for nonselfadjoint and indefinite problems".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 185.1(2000):75-89. |
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