Finite Element Approximation for Optimal Shape Design: Theory and ApplicationsExplains how to speed the optimal shape design process using a computer. Outlines the problems inherent in optimal shape design and discusses methods of their solution. Concentrates on finite element approximation and describes numerical realization of optimization techniques. Treats optimal design problems via the optimal control theory when the state systems are governed by variational inequalities. Provides useful background information, followed by numerous approaches to optimal shape design, all supported by illustrative examples. Appendices provide algorithms and numerous examples and their calculations are included. |
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Page iv
... Haslinger , J. Optimal shape design . Bibliography : p . 1. Engineering design - Mathematical models . 2. Mathematical optimization . I. Neittaanmäki , P. II . Title . TA174.N45 1988 620'.00425 ISBN 0 471 92079 7 88-17412 British ...
... Haslinger , J. Optimal shape design . Bibliography : p . 1. Engineering design - Mathematical models . 2. Mathematical optimization . I. Neittaanmäki , P. II . Title . TA174.N45 1988 620'.00425 ISBN 0 471 92079 7 88-17412 British ...
Page 264
Theory and Applications J. Haslinger, Pekka Neittaanmäki. on the use of the material derivative approach with special ... Haslinger and Roubíček ( 1986 ) and Jeyakumar ( 1987 ) . We refer the reader to Choi ( 1987 ) , Haug , Choi and ...
Theory and Applications J. Haslinger, Pekka Neittaanmäki. on the use of the material derivative approach with special ... Haslinger and Roubíček ( 1986 ) and Jeyakumar ( 1987 ) . We refer the reader to Choi ( 1987 ) , Haug , Choi and ...
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... Haslinger , Charles University , Prague , Czechoslovakia P. Neittaanmäki , University of Jyväskylä , Finland In this ... Haslinger graduated from Charles University in Prague , Czechoslovakia in 1969 , and received the degree of CSc in ...
... Haslinger , Charles University , Prague , Czechoslovakia P. Neittaanmäki , University of Jyväskylä , Finland In this ... Haslinger graduated from Charles University in Prague , Czechoslovakia in 1969 , and received the degree of CSc in ...
Contents
Preliminaries | 1 |
Abstract setting of optimal shape design problem and | 28 |
Optimal shape design of systems governed by a unilateral | 53 |
Copyright | |
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adjoint algorithm Appendix applied approximation boundary value problem C₁ Céa compute constraints contact problems convex convex set cost functional defined denote design sensitivity analysis differentiable discrete domain elastic exist a subsequence Figure Find finite element follows formula given Gm(a H¹(Î Haslinger Haug Hlaváček I₁ Ir(an ITERATION jEJk Komkov Lagrange multipliers least one solution Lemma lim inf lim sup linear Lipschitz Lipschitz continuous lower semicontinuous mapping material derivative matrix method minimization Nečas Neittaanmäki nodes nonlinear nonlinear programming nonsmooth Numerical results obtain optimal control optimal design optimal pair optimal shape design parameter Pironneau Proof results for Example Section sensitivity analysis sequence shape design problems Shape optimization Sokolowski solves P(a subgradient subset T₁ Theorem triangulation un(an unilateral boundary value variational inequality vector w₁ Zolesio г₁