Uniform convergence and preconditioning methods for projection nonconforming and mixed methods for nonselfadjoint and indefinite problems
文献类型：期刊论文
| 作者 | Chen, JR; Li, LK |
| 刊名 | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
 |
| 出版日期 | 2000 |
| 卷号 | 185期号:1页码:75-89 |
| 关键词 | uniform convergence preconditioning nonconforming element mixed clement indefinite problems |
| ISSN号 | 0045-7825 |
| 英文摘要 | 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. |
| WOS研究方向 | Engineering ; Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000086809800004 |
| 出版者 | ELSEVIER SCIENCE SA |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15053]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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