Multiobjective PDE-constrained optimization using the reduced-basis method
type: Item
instance of: scholarly article
title: Multiobjective PDE-constrained optimization using the reduced-basis method
zbMATH Open document ID: 1386.35068
author: S. Volkwein
author: Laura Iapichino
author: Stefan Ulbrich
published in: Advances in Computational Mathematics
publication date: 2017-12-06T00:00:00Z
full work available at URL: urn:nbn:de:bsz:352-250190
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 90C29
zbMATH DE Number: 6816260
zbMATH Keywords: multiobjective PDE-constrained optimization
zbMATH Keywords: weighted sum method
zbMATH Keywords: reduced basis method
zbMATH Keywords: a-posteriori error
zbMATH Keywords: sensitivity analysis
describes a project that uses: rbMIT
MaRDI profile type: Publication
OpenAlex ID: W2155413828
cites work: The finite element method with Lagrangian multipliers
cites work: An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
cites work: Functional analysis, Sobolev spaces and partial differential equations
cites work: Q4105995
cites work: Mixed and Hybrid Finite Element Methods
cites work: Reduced Basis Method and A Posteriori Error Estimation for Parametrized Linear-Quadratic Optimal Control Problems
cites work: Multicriteria Optimization
cites work: Q5457444
cites work: Q3995399
cites work: A PosterioriError Estimation for Reduced Order Solutions of Parametrized Parabolic Optimal Control Problems
cites work: Numerical Sensitivity Analysis for the Quantity of Interest in PDE‐Constrained Optimization
cites work: Certified Reduced Basis Methods for Parametrized Partial Differential Equations
cites work: Nonlinear multiobjective optimization. A generalized homotopy approach
cites work: Optimization with PDE Constraints
cites work: A natural-norm successive constraint method for inf-sup lower bounds
cites work: Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems
cites work: A posteriori error estimation for semilinear parabolic optimal control problems with application to model reduction by POD
cites work: Q5806966
cites work: Reduced basis method for parametrized elliptic optimal control problems
cites work: Q5491447
cites work: Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
cites work: Multiobjective optimal control methods for the Navier-Stokes equations using reduced order modeling
cites work: Reduced Basis Methods for Partial Differential Equations
cites work: On the stability of the reduced basis method for Stokes equations in parametrized domains
cites work: Multicriteria optimization in engineering and in the sciences
cites work: Q3558349
cites work: POD a-posteriori error estimates for linear-quadratic optimal control problems
cites work: Greedy Sampling Using Nonlinear Optimization
DOI: 10.1007/S10444-016-9512-X
description: scientific article; zbMATH DE number 6816260