Dynamic programming approach to structural optimization problem - numerical algorithm

DOI10.7494/OpMath.2014.34.4.699zbMath1329.49086OpenAlexW2170342119WikidataQ104413710 ScholiaQ104413710MaRDI QIDQ3458987

Jan Pustelnik, Piotr Fulmanski, Andrzej F. Nowakowski

Publication date: 29 December 2015

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2014.34.4.699

zbMATH Keywords

dynamic programmingelliptic equationsshape optimizationnumerical approximationsufficient optimality conditionsstationary Navier-Stokes equations

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Dynamic programming in optimal control and differential games (49L20) Control/observation systems governed by partial differential equations (93C20) Initial-boundary value problems for second-order hyperbolic equations (35L20) Dynamic programming (90C39) Navier-Stokes equations (35Q30) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

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• Second Order Sufficient Conditions for Optimal Control Problems with Free Final Time: The Riccati Approach
• Introduction to Shape Optimization
• Numerical Solution of Elliptic Shape Optimization Problems using wavelet-based BEM
• Approximation of an optimal value of a Bolza functional
• On Convergence in Elliptic Shape Optimization
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