KMS Of Academy of mathematics and systems sciences, CAS
| Substructure preconditioners for nonconforming plate elements | |
| Shi, ZC; Xie, ZH | |
| 1998-07-01 | |
| Source Publication | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| ISSN | 0254-9409 |
| Volume | 16Issue:4Pages:289-304 |
| Abstract | In this paper, we consider the problem of solving finite element equations of biharmonic Dirichlet problems. We divide the given domain into non-overlapping subdomains, construct a preconditioner for Morley element by substructuring on the basis of a function decomposition for discrete biharmonic functions. The function decomposition is introduced by partitioning these finite element functions into the low and high frequency components through the intergrid transfer operators between coarse mesh and fine mesh, and the conforming interpolation operators. The method leads to a preconditioned system with the condition number bounded by C(1 + log(2) H/h) in the case with interior cross points, and by C in the case without interior cross points, where H is the subdomain size and h is the mesh size. These techniques are applicable to other nonconforming elements and are well suited to a parallel computation. |
| Keyword | substructure preconditioner biharmonic equation nonconforming plate element |
| Language | 英语 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000075469400001 |
| Publisher | VSP BV |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/13455 |
| Collection | 中国科学院数学与系统科学研究院 |
| Affiliation | 1.Chinese Acad Sci, ICMSEC, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Inst Atmospher Phys, LASG, Beijing 100080, Peoples R China |
| Recommended Citation GB/T 7714 | Shi, ZC,Xie, ZH. Substructure preconditioners for nonconforming plate elements[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,1998,16(4):289-304. |
| APA | Shi, ZC,&Xie, ZH.(1998).Substructure preconditioners for nonconforming plate elements.JOURNAL OF COMPUTATIONAL MATHEMATICS,16(4),289-304. |
| MLA | Shi, ZC,et al."Substructure preconditioners for nonconforming plate elements".JOURNAL OF COMPUTATIONAL MATHEMATICS 16.4(1998):289-304. |
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