Numerical solution of an optimal shape design problem with elastic solids
type: Item
instance of: scholarly article
title: Numerical solution of an optimal shape design problem with elastic solids
zbMATH Open document ID: 0764.73054
DOI: 10.1016/0045-7825(92)90038-L
author: A. E. Alvarez Vigil
author: J. B. Ordieres Meré
author: Celestino González-Nicieza
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1993-04-01T00:00:00Z
review text: An optimal design problem is studied for elastic bodies. We define this problem from a mathematical point of view by functional equations based on virtual works, analyzing later the existence of a solution and the necessary minimum conditions for the adopted cost functional (global deformation). Subsequently the finite element method is applied, obtaining a new problem: the approximate problem, from which the existence of its solution and the convergence of its solution to the original problem solution is proved.
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 146812
zbMATH Keywords: functional equations
zbMATH Keywords: virtual works
zbMATH Keywords: existence
zbMATH Keywords: cost functional
zbMATH Keywords: convergence
Wikidata QID: Q58427595
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 146812