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Volume 9, Issue 4
A Decomposition Method for Some Biharmonic Problems

F. Scarpini

J. Comp. Math., 9 (1991), pp. 291-300.

Published online: 1991-09

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  • 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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@Article{JCM-9-291, author = {F. Scarpini}, title = {A Decomposition Method for Some Biharmonic Problems}, journal = {Journal of Computational Mathematics}, year = {1991}, volume = {9}, number = {4}, pages = {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].  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9403.html} }
TY - JOUR T1 - A Decomposition Method for Some Biharmonic Problems AU - F. Scarpini JO - Journal of Computational Mathematics VL - 4 SP - 291 EP - 300 PY - 1991 DA - 1991/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9403.html KW - AB -

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].  

F. Scarpini. (1991). A Decomposition Method for Some Biharmonic Problems. Journal of Computational Mathematics. 9 (4). 291-300. doi:
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