A hybrid model reduction method for stochastic parabolic optimal control problems (Q2020265)

scientific article; zbMATH DE number 7337114

Language	Label	Description	Also known as
English	A hybrid model reduction method for stochastic parabolic optimal control problems	scientific article; zbMATH DE number 7337114

Statements

instance of

scholarly article

0 references

title

A hybrid model reduction method for stochastic parabolic optimal control problems (English)

0 references

0 references

0 references

Computer Methods in Applied Mechanics and Engineering

0 references

publication date

23 April 2021

0 references

zbMATH Keywords

stochastic optimal control problem

0 references

variable-separation method

0 references

bi-fidelity model

0 references

model reduction

0 references

describes a project that uses

redbKIT

0 references

MaRDI profile type

Publication

0 references

full work available at URL

https://doi.org/10.1016/j.cma.2020.113244

0 references

cites work

Domain decomposition in time for PDE-constrained optimization

0 references

Multigrid methods for parabolic distributed optimal control problems

0 references

Finite Element Approximation of Parabolic Time Optimal Control Problems

0 references

A posteriori error estimates for optimal control problems governed by parabolic equations

0 references

A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations

0 references

Adaptive multilevel trust-region methods for time-dependent PDE-constrained optimization

0 references

Multigrid Methods and Sparse-Grid Collocation Techniques for Parabolic Optimal Control Problems with Random Coefficients

0 references

Reduced Basis Method and A Posteriori Error Estimation for Parametrized Linear-Quadratic Optimal Control Problems

0 references

Reduced basis method and error estimation for parametrized optimal control problems with control constraints

0 references

Analytic regularity and GPC approximation for control problems constrained by linear parametric elliptic and parabolic PDEs

0 references

Optimization with PDE Constraints

0 references

Local-global model reduction method for stochastic optimal control problems constrained by partial differential equations

0 references

Q4936365

0 references

Q5601627

0 references

<i>A Priori</i> Error Estimate of Stochastic Galerkin Method for Optimal Control Problem Governed by Random Parabolic PDE with Constrained Control

0 references

Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations

0 references

Weighted Reduced Basis Method for Stochastic Optimal Control Problems with Elliptic PDE Constraint

0 references

Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations

0 references

Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty

0 references

Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition

0 references

A Novel Variable-Separation Method Based on Sparse and Low Rank Representation for Stochastic Partial Differential Equations

0 references

A multiscale finite element method for elliptic problems in composite materials and porous media

0 references

Multiscale methods for parabolic equations with continuum spatial scales

0 references

Generalized multiscale finite element methods (GMsFEM)

0 references

Multiscale finite element methods for high-contrast problems using local spectral basis functions

0 references

Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations

0 references

Generalized spectral decomposition for stochastic nonlinear problems

0 references

Proper generalized decompositions and separated representations for the numerical solution of high dimensional stochastic problems

0 references

An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations

0 references

Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

0 references

Multifidelity approaches for optimization under uncertainty

0 references

Q4399897

0 references

Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept

0 references

First and second order sufficient optimality conditions in mathematical programming and optimal control

0 references

Reduced multiscale finite element basis methods for elliptic PDEs with parameterized inputs

0 references

Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.

0 references

Reduced basis method for parametrized elliptic optimal control problems

0 references

Practical error bounds for a non-intrusive bi-fidelity approach to parametric/stochastic model reduction

0 references

Mixed Generalized Multiscale Finite Element Methods and Applications

0 references

GENERALIZED FINITE ELEMENT METHODS — MAIN IDEAS, RESULTS AND PERSPECTIVE

0 references

Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems

0 references

Identifiers

zbMATH Open document ID

1506.49018

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

0 references

0 references

10.1016/J.CMA.2020.113244

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2020265