Global superconvergence in combinations of Ritz-Galerkin-FEM for singularity problems

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	Global superconvergence in combinations of Ritz-Galerkin-FEM for singularity problems
	Li, ZC ; Lin, Q ; Yan, NN
	1999-06-30
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	106 期号:2 页码:325-344
摘要	This 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.
关键词	elliptic equation singularity problem superconvergence combined method coupling technique finite-element method the Ritz-Galerkin method penalty method hybrid method
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000081088700008
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14274
专题	中国科学院数学与系统科学研究院
作者单位	1.Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 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.