Reliable Error Estimates for Optimal Control of Linear Elliptic PDEs with Random Inputs

Sample average approximations of strongly convex stochastic programs in Hilbert spaces

(2022) Johannes Milz   Optimization Letters

Optimization under Rare Chance Constraints

(2022) Shanyin Tong et al.   SIAM JOURNAL ON OPTIMIZATION

Stochastic proximal gradient methods for nonconvex problems in Hilbert spaces

(2021) Caroline Geiersbach et al.   COMPUTATIONAL OPTIMIZATION AND APPLICATIONS

On quantitative stability in infinite-dimensional optimization under uncertainty

(2021) M. Hoffhues et al.   Optimization Letters

Reliability-based topology optimization for freely vibrating continuum structures with unknown-but-bounded uncertainties

(2021) Haijun Xia et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

Efficient economic optimisation of large-scale tidal stream arrays

(2021) Z.L. Goss et al.   APPLIED ENERGY

Complexity Analysis of stochastic gradient methods for PDE-constrained optimal Control Problems with uncertain parameters

(2021) Matthieu Martin et al.   ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE

Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis

(2021) Shanyin Tong et al.   Communications in Applied Mathematics and Computational Science

A hybrid semismooth quasi-Newton method for nonsmooth optimal control with PDEs

(2020) Florian Mannel et al.   OPTIMIZATION AND ENGINEERING

A certified model reduction approach for robust parameter optimization with PDE constraints

(2019) Alessandro Alla et al.   ADVANCES IN COMPUTATIONAL MATHEMATICS

Constrained Optimization with Low-Rank Tensors and Applications to Parametric Problems with PDEs

(2017) Sebastian Garreis et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Multilevel Monte Carlo Analysis for Optimal Control of Elliptic PDEs with Random Coefficients

(2017) Ahmad Ahmad Ali et al.   SIAM-ASA Journal on Uncertainty Quantification

Design optimisation and resource assessment for tidal-stream renewable energy farms using a new continuous turbine approach

(2016) S.W. Funke et al.   RENEWABLE ENERGY

Inexact Objective Function Evaluations in a Trust-Region Algorithm for PDE-Constrained Optimization under Uncertainty

(2014) D. P. Kouri et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A Multilevel Stochastic Collocation Algorithm for Optimization of PDEs with Uncertain Coefficients

(2014) D. P. Kouri   SIAM-ASA Journal on Uncertainty Quantification

Finite Element Error Analysis of Elliptic PDEs with Random Coefficients and Its Application to Multilevel Monte Carlo Methods

(2013) J. Charrier et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Stochastic Collocation for Optimal Control Problems with Stochastic PDE Constraints

(2012) Hanne Tiesler et al.   SIAM JOURNAL ON CONTROL AND OPTIMIZATION

Strong and Weak Error Estimates for Elliptic Partial Differential Equations with Random Coefficients

(2012) Julia Charrier   SIAM JOURNAL ON NUMERICAL ANALYSIS

Optimal Stochastic Approximation Algorithms for Strongly Convex Stochastic Composite Optimization I: A Generic Algorithmic Framework

(2012) Saeed Ghadimi et al.   SIAM JOURNAL ON OPTIMIZATION

Optimality Conditions and Error Analysis of Semilinear Elliptic Control Problems with $L^1$ Cost Functional

(2012) Eduardo Casas et al.   SIAM JOURNAL ON OPTIMIZATION

Convergence and regularization results for optimal control problems with sparsity functional

(2010) Gerd Wachsmuth et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Robust Stochastic Approximation Approach to Stochastic Programming

(2009) A. Nemirovski et al.   SIAM JOURNAL ON OPTIMIZATION

Multigrid optimization methods for linear and bilinear elliptic optimal control problems

(2008) Michelle Vallejos et al.   COMPUTING

A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints

(2008) Dominik Meidner et al.   SIAM JOURNAL ON CONTROL AND OPTIMIZATION