DOI10.1137/110847597zbMath1278.49043OpenAlexW2030470940MaRDI QIDQ2848594
Christoph Schwab, Angela Kunoth
Publication date: 26 September 2013
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: http://preprints.acmac.uoc.gr/162/1/acmac-0162.pdf
Optimal design of acoustic metamaterial cloaks under uncertainty,
Polynomial Chaos Expansion of Random Coefficients and the Solution of Stochastic Partial Differential Equations in the Tensor Train Format,
Random geometries for optimal control PDE problems based on fictitious domain FEMs and cut elements,
Existence, Uniqueness, and a Comparison of Nonintrusive Methods for the Stochastic Nonlinear Poisson--Boltzmann Equation,
Sparse Adaptive Tensor Galerkin Approximations of Stochastic PDE-Constrained Control Problems,
Discretization and analysis of an optimal control of a variable-order time-fractional diffusion equation with pointwise constraints,
Complexity Analysis of stochastic gradient methods for PDE-constrained optimal Control Problems with uncertain parameters,
A weighted \(\ell_1\)-minimization approach for sparse polynomial chaos expansions,
QMC Galerkin Discretization of Parametric Operator Equations,
Sparse adaptive approximation of high dimensional parametric initial value problems,
Exponential convergence of hp-time-stepping in space-time discretizations of parabolic PDES,
Error bounds for POD expansions of parameterized transient temperatures,
Optimization problems for PDEs in weak space-time form. Abstracts from the workshop held March 5--10, 2023,
Sparse polynomial approximations for affine parametric saddle point problems,
Multilevel quasi-Monte Carlo for optimization under uncertainty,
Wavenumber-Explicit Parametric Holomorphy of Helmholtz Solutions in the Context of Uncertainty Quantification,
Analysis of RHC for Stabilization of Nonautonomous Parabolic Equations Under Uncertainty,
Higher order quasi-Monte Carlo integration for Bayesian PDE inversion,
Properties of chance constraints in infinite dimensions with an application to PDE constrained optimization,
Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty,
Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs,
Mean-Variance Risk-Averse Optimal Control of Systems Governed by PDEs with Random Parameter Fields Using Quadratic Approximations,
Application of quasi-Monte Carlo methods to elliptic PDEs with random diffusion coefficients: a survey of analysis and implementation,
Taylor Approximation for Chance Constrained Optimization Problems Governed by Partial Differential Equations with High-Dimensional Random Parameters,
A hybrid model reduction method for stochastic parabolic optimal control problems,
Multilevel Higher Order QMC Petrov--Galerkin Discretization for Affine Parametric Operator Equations,
Higher Order Quasi Monte-Carlo Integration in Uncertainty Quantification,
Efficient numerical methods for elliptic optimal control problems with random coefficient,
A Quasi-Monte Carlo Method for Optimal Control Under Uncertainty,
Multilevel Monte Carlo Analysis for Optimal Control of Elliptic PDEs with Random Coefficients,
The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term
