Robust optimal shape design for an elliptic PDE with uncertainty in its input data

DOI10.1051/cocv/2014049zbMath1323.49029OpenAlexW2083659396WikidataQ57718420 ScholiaQ57718420MaRDI QIDQ2949581

Francisco Periago, Mathieu Kessler, Jesús Martínez-Frutos

Publication date: 2 October 2015

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2014049

zbMATH Keywords

relaxation methodGaussian random fieldselastic membranestochastic elliptic partial differential equationrobust shape optimization

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Numerical optimization and variational techniques (65K10) Optimal stochastic control (93E20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Optimization of shapes other than minimal surfaces (49Q10) PDEs with randomness, stochastic partial differential equations (35R60) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20) Numerical methods of relaxation type (49M20) Existence of optimal solutions to problems involving randomness (49J55)

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