Substructure preconditioners for nonconforming plate elements
Shi, ZC; Xie, ZH
AbstractIn 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.
Keywordsubstructure preconditioner biharmonic equation nonconforming plate element
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000075469400001
PublisherVSP BV
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Document Type期刊论文
Affiliation1.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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