Properties of chance constraints in infinite dimensions with an application to PDE constrained optimization
type: Item
instance of: scholarly article
title: Properties of chance constraints in infinite dimensions with an application to PDE constrained optimization
zbMATH Open document ID: 1410.90135
published in: Set-Valued and Variational Analysis
publication date: 2019-01-16T00:00:00Z
Mathematics Subject Classification ID: 90C15
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 7002700
zbMATH Keywords: chance constraints
zbMATH Keywords: probabilistic constraints
zbMATH Keywords: PDE constrained optimization
author: M. Hassan Farshbaf-Shaker
author: René Henrion
author: Dietmar Hömberg
MaRDI profile type: Publication
full work available at URL: s11228-017-0452-5
OpenAlex ID: W2764133341
cites work: Convexity and optimization with copulæ structured probabilistic constraints
cites work: (Sub-)Gradient Formulae for Probability Functions of Random Inequality Systems under Gaussian Distribution
cites work: Q5318420
cites work: A deterministic approximation method in shape optimization under random uncertainties
cites work: Gradient Formulae for Nonlinear Probabilistic Constraints with Gaussian and Gaussian-Like Distributions
cites work: Q3324260
cites work: A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
cites work: On solving elliptic stochastic partial differential equations
cites work: SOLVING STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS BASED ON THE EXPERIMENTAL DATA
cites work: Multigrid and sparse-grid schemes for elliptic control problems with random coefficients
cites work: Methods in Nonlinear Analysis
cites work: Risk Averse Shape Optimization
cites work: Optimal Control of Three-Dimensional State-Constrained Induction Heating Problems with Nonlocal Radiation Effects
cites work: Risk averse elastic shape optimization with parametrized fine scale geometry
cites work: Error Estimates of Stochastic Optimal Neumann Boundary Control Problems
cites work: Q4495126
cites work: Convexity of chance constraints with independent random variables
cites work: A gradient formula for linear chance constraints under Gaussian distribution
cites work: A trust-region algorithm with adaptive stochastic collocation for PDE optimization under uncertainty
cites work: Risk-Averse PDE-Constrained Optimization Using the Conditional Value-At-Risk
cites work: Analytic regularity and GPC approximation for control problems constrained by linear parametric elliptic and parabolic PDEs
cites work: An introduction to computational stochastic PDEs
cites work: Differentiation of probability functions: The transformation method
cites work: Q5682159
cites work: Programming under probabilistic constraints with a random technology matrix
cites work: Q3126752
cites work: Stability analysis for stochastic programs
cites work: Lectures on Stochastic Programming
cites work: Derivatives of probability functions and some applications
DOI: 10.1007/S11228-017-0452-5
description: scientific article; zbMATH DE number 7002700