Year: 1999
Author: Hou-De Han, Wei-Jun Tang
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 1 : pp. 59–72
Abstract
In this paper, a new method of boundary reduction is proposed, which reduces the biharmonic boundary value problem to a system of integro-differential equations on the boundary and preserves the self-adjointness of the original problem. Moreover, a boundary finite element method based on this integro-differential equations is presented and the error estimates of the numerical approximations are given. The numerical examples show that this new method is effective.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1999-JCM-9082
Journal of Computational Mathematics, Vol. 17 (1999), Iss. 1 : pp. 59–72
Published online: 1999-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Boundary integro-differential equations Biharmonic boundary value problem.