Year: 1991
Journal of Computational Mathematics, Vol. 9 (1991), Iss. 4 : pp. 291–300
Abstract
In this paper we consider two biharmonic problems [13] which will be conventionally indicated as "simply supported" and "clamped plate" problem.
We construct a decomposition method [16], [19] related to the partition of the plate in two, or more, subdomains. We carry on the numerical treatment of the method first decoupling these fourth order problems into two second order problems, then discretizing these problems by mixed linear finite element and obtaining an algebraic system. Moreover, we present an iterative block algorithm for solving the foregoing system, which can be efficiently developed on parallel computers.
In the end, we extend the method to the respective biharmonic variational inequalities [10].
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1991-JCM-9403
Journal of Computational Mathematics, Vol. 9 (1991), Iss. 4 : pp. 291–300
Published online: 1991-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10