Domain decomposition method with hybrid approximations applied to solve problems of elasticity

To solve two-dimensional boundary-value problems of elasticity, two iteration algorithms of the domain decomposition method are proposed: parallel Neumann–Neumann and sequential Dirichlet–Neumann. They are based on the hybrid boundary–finite-element approximations. The algorithms are proved to conve...

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Bibliographic Details
Published in:	International applied mechanics Vol. 44; no. 11; pp. 1213 - 1222
Main Authors:	Grigorenko, A. Ya, Dyyak, I. I., Prokopyshin, I. I.
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01.11.2008
Subjects:	Algorithms Applications of Mathematics Approximation Boundaries Boundary value problems Classical Mechanics Domain decomposition methods Elasticity Mathematical analysis Optimization Physics Physics and Astronomy domain decomposition method parallel Neumann–Neumann algorithm finite-element method direct boundary-element method sequential Dirichlet–Neumann algorithm plane problems of elasticity
ISSN:	1063-7095, 1573-8582
Online Access:	Get full text
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