Optimal Control of PDEs under Uncertainty

DOI10.1007/978-3-319-98210-6zbMath1426.49001OpenAlexW4243755867MaRDI QIDQ4583922

Francisco Periago Esparza, Jesús Martínez-Frutos

Publication date: 28 August 2018

Published in: SpringerBriefs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-98210-6

zbMATH Keywords

optimal shapeuncertaintiesnumerical approximationoptimal designoptimal control problemsrandom heat equationrandom Bernoulli-Euler beam equationrandom Laplace-Poisson equation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02)

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Uses Software

• Matlab
• DAKOTA
• FERUM
• OpenTURNS
• Sparse Grid Interpolation
• Burkardt
• UQLab
• compliance
• Allaire_FreeFem
• Allaire_Scilab

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