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Global superconvergence in combinations of Ritz-Galerkin-FEM for singularity problems
Li, ZC; Lin, Q; Yan, NN
1999-06-30
Source PublicationJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN0377-0427
Volume106Issue:2Pages:325-344
AbstractThis paper combines the piecewise bilinear elements with the singular functions to seek the corner singular solution of elliptic boundary value problems. The global superconvergence rates O(h(2-delta)) can be achieved by means of the techniques of Lin and Yan (The Construction and Analysis of High Efficient FEM, Hobei University Publishing, Hobei, 1996) for different coupling strategies, such as the nonconforming constraints, the penalty integrals, and the penalty plus hybrid integrals, where delta(>0) is an arbitrarily small number, and h is the maximal boundary length of quasiuniform rectangles square(ij) used. A little effort in computation is paid to conduct a posteriori interpolation of the numerical solutions, uh, only on the subregion used in finite element methods. This paper also explores an equivalence of superconvergence between this paper and Z.C. Li, Internat. J. Numer. Methods Eng. 39 (1996) 1839-1857 and J. Comput. Appl. Math. 81 (1997) 1-17. (C) 1999 Elsevier Science B.V. All rights reserved.
Keywordelliptic equation singularity problem superconvergence combined method coupling technique finite-element method the Ritz-Galerkin method penalty method hybrid method
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000081088700008
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14274
Collection中国科学院数学与系统科学研究院
Affiliation1.Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Li, ZC,Lin, Q,Yan, NN. Global superconvergence in combinations of Ritz-Galerkin-FEM for singularity problems[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,1999,106(2):325-344.
APA Li, ZC,Lin, Q,&Yan, NN.(1999).Global superconvergence in combinations of Ritz-Galerkin-FEM for singularity problems.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,106(2),325-344.
MLA Li, ZC,et al."Global superconvergence in combinations of Ritz-Galerkin-FEM for singularity problems".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 106.2(1999):325-344.
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