NON C⁰ NONCONFORMING ELEMENTS FOR ELLIPTIC FOURTH ORDER SINGULAR PERTURBATION PROBLEM

In this paper we give a convergence theorem for non C⁰ nonconforming finite element to solve the elliptic fourth order singular perturbation problem. Two such kind of elements, a nine parameter triangular element and a twelve parameter rectangular element both with double set parameters, are present...

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Bibliographic Details
Published in:Journal of computational mathematics 2005-03, Vol.23 (2), p.185-198
Main Authors: Chen, Shao-chun, Zhao, Yong-cheng, Shi, Dong-yang
Format: Article
Language:English
Subjects:
Bending
Convergent boundaries
Degrees of freedom
Interpolation
Mathematical sets
Perceptron convergence procedure
Polynomials
Shape functions
Vertices
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Summary:In this paper we give a convergence theorem for non C⁰ nonconforming finite element to solve the elliptic fourth order singular perturbation problem. Two such kind of elements, a nine parameter triangular element and a twelve parameter rectangular element both with double set parameters, are presented. The convergence and numerical results of the two elements are given.
ISSN:0254-9409
1991-7139