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| Content Provider | Springer Nature Link |
|---|---|
| Author | Zhongzhi, Bai |
| Copyright Year | 1999 |
| Abstract | A framework for parallel algebraic multilevel preconditioning methods is presented for solving large sparse systems of linear equations with symmetric positive definite coefficient matrices, which arise in suitable finite element discretizations of many second-order self-adjoint elliptic boundary value problems. This framework not only covers all known parallel algebraic multilevel preconditioning methods, but also yields new ones. It is shown that all preconditioners within this framework have optimal orders of complexities for problems in two-dimensional (2-D) and three-dimensional (3-D) problem domains, and their relative condition numbers are bounded uniformly with respect to the numbers of both levels and nodes. |
| Starting Page | 385 |
| Ending Page | 395 |
| Page Count | 11 |
| File Format | |
| ISSN | 01689673 |
| Journal | Acta Mathematicae Applicatae Sinica |
| Volume Number | 15 |
| Issue Number | 4 |
| e-ISSN | 16183932 |
| Language | English |
| Publisher | Springer-Verlag |
| Publisher Date | 1999-01-01 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Algebraic multilevel iteration polynomial acceleration finite element discretization optimal-order preconditioner parallel method Math Applications in Computer Science Applications of Mathematics Mathematical and Computational Physics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
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