Error estimates for isoparametric mixed finite element solution of 4th order elliptic problems with variable coefficients

被引:8
作者
Bhattacharyya, PK
Nataraj, N [1 ]
机构
[1] Indian Inst Technol, Dept Math, New Delhi 110016, India
[2] Jawaharlal Nehru Univ, Sch Comp & Syst Sci, New Delhi 110067, India
关键词
elliptic problems; mixed methods; isoparametric finite element; error estimates;
D O I
10.1007/s00466-002-0308-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Considering the combined effect of boundary approximation and numerical integration, error estimates for the isoparametric mixed finite element solution of fourth order elliptic problems with variable coefficients in convex domains, which, in the particular case of aniso-/ ortho-/ isotropic plate bending problems, gives a direct and simultaneous approximation to bending moment tensor field Psi = (psi(ij))(1less than or equal toi,jless than or equal to2) and displacement field 'u', have been developed. Results of numerical experiments justify the theoretical results.
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页码:435 / 455
页数:21
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