Uncoupled dual formulations of the variational boundary element method in problems of the theory of elasticity
type: Item
instance of: scholarly article
title: Uncoupled dual formulations of the variational boundary element method in problems of the theory of elasticity
zbMATH Open document ID: 0817.73074
DOI: 10.1016/0021-8928(92)90047-C
author: V. Ya. Tereshchenko
published in: Journal of Applied Mathematics and Mechanics
publication date: 1994-03-22T00:00:00Z
review text: Uncoupled dual formulations (UDFs) are proposed for the boundary functionals of the linear theory of elasticity, in the sense that the displacements and stresses are varied independently, and the equations of state on the boundary are treated as constraints involving Lagrange multipliers. The idea of this device is to use Lagrange multipliers to get rid of restrictions in the variational problem, represented by the equation of state. A finite element approximation of the solutions of these problems yields mixed formulations of the finite element method. Thus, the boundary element approximations proposed below for the UDF maybe regarded as a special mixed finite element method.
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 514904
zbMATH Keywords: Lagrange multipliers
zbMATH Keywords: mixed finite element method
MaRDI profile type: Publication
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full work available at URL: 0021-8928(92)90047-c
OpenAlex ID: W2150276612
description: scientific article; zbMATH DE number 514904