Optimal loading of solids by the boundary element method
type: Item
instance of: scholarly article
title: Optimal loading of solids by the boundary element method
zbMATH Open document ID: 0573.73095
DOI: 10.1016/0020-7225(85)90032-1
published in: International Journal of Engineering Science
publication date: 1985-01-01T00:00:00Z
review text: Optimal boundary loading of solids in elastostatics is analyzed within the framework of optimal control problems. First, the necessary conditions of optimality are found by means of calculus of variations. The resulting sets of vector partial differential equations are then discretized in space by using the boundary element method, while an integral function (the performance index of the control problem) is minimized by the conjugate gradient method of optimization. Numerical results are provided for a thin plate of annular sector.
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 90C52
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 3915797
zbMATH Keywords: optimization of distributed parameter systems
zbMATH Keywords: Optimal boundary loading
zbMATH Keywords: elastostatics
zbMATH Keywords: optimal control problems
zbMATH Keywords: necessary conditions
zbMATH Keywords: sets of vector partial differential equations
zbMATH Keywords: discretized in space
zbMATH Keywords: boundary element method
zbMATH Keywords: integral function
zbMATH Keywords: performance index
zbMATH Keywords: conjugate gradient method
zbMATH Keywords: Numerical results
zbMATH Keywords: thin plate of annular sector
author: R. Alsan Meric
MaRDI profile type: Publication
full work available at URL: 0020-7225(85)90032-1
OpenAlex ID: W2165648660
cites work: Topics in optimization
cites work: Finite element methods for an optimal steady-state control problem
cites work: Heat and mass transfer bibliography - Soviet works
cites work: Q3920233
cites work: Q5601627
cites work: Q5587509
cites work: Finite elements for an optimal control problem governed by a parabolic equation
cites work: Finite element analysis of optimal heating of a slab with temperature dependent thermal conductivity
cites work: Finite element and conjugate gradient methods for a nonlinear optimal heat transfer control problem
cites work: Q3049781
cites work: Boundary element methods for optimization of distributed parameter systems
cites work: Function minimization by conjugate gradients
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description: scientific article; zbMATH DE number 3915797