Multiobjective PDE-constrained optimization using the reduced-basis method
DOI10.1007/s10444-016-9512-xzbMath1386.35068OpenAlexW2155413828MaRDI QIDQ1683219
Stefan Volkwein, Laura Iapichino, Stefan Ulbrich
Publication date: 6 December 2017
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:352-250190
sensitivity analysisreduced basis methodweighted sum methoda-posteriori errormultiobjective PDE-constrained optimization
Multi-objective and goal programming (90C29) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Linear-quadratic optimal control problems (49N10) Variational methods for second-order elliptic equations (35J20)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A natural-norm successive constraint method for inf-sup lower bounds
- POD a-posteriori error estimates for linear-quadratic optimal control problems
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- On the stability of the reduced basis method for Stokes equations in parametrized domains
- Functional analysis, Sobolev spaces and partial differential equations
- Nonlinear multiobjective optimization. A generalized homotopy approach
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Multicriteria optimization in engineering and in the sciences
- Multiobjective optimal control methods for the Navier-Stokes equations using reduced order modeling
- The finite element method with Lagrangian multipliers
- A posteriorierror estimation for semilinear parabolic optimal control problems with application to model reduction by POD
- Reduced Basis Method for Parametrized Elliptic Optimal Control Problems
- A PosterioriError Estimation for Reduced Order Solutions of Parametrized Parabolic Optimal Control Problems
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- Reduced Basis Method and A Posteriori Error Estimation for Parametrized Linear-Quadratic Optimal Control Problems
- Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems
- Optimization with PDE Constraints
- Mixed and Hybrid Finite Element Methods
- Greedy Sampling Using Nonlinear Optimization
- Multicriteria Optimization
- Numerical Sensitivity Analysis for the Quantity of Interest in PDE‐Constrained Optimization
- Reduced Basis Methods for Partial Differential Equations
This page was built for publication: Multiobjective PDE-constrained optimization using the reduced-basis method