Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems

DOI10.1007/978-3-319-39929-4_37zbMath1352.65166OpenAlexW2254664843MaRDI QIDQ3179682

Laura Iapichino, Stefan Trenz, Stefan Volkwein

Publication date: 19 December 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:352-0-313874

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10)

Related Items (8)

Greedy non-intrusive reduced-order model's application in dynamic blowing and suction flow control to suppress the flow separation ⋮ ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation ⋮ POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations ⋮ Multiobjective PDE-constrained optimization using the reduced-basis method ⋮ POD-Galerkin model order reduction for parametrized time dependent linear quadratic optimal control problems in saddle point formulation ⋮ Adaptive piecewise linear relaxations for enclosure computations for nonconvex multiobjective mixed-integer quadratically constrained programs ⋮ Set-Oriented Multiobjective Optimal Control of PDEs Using Proper Orthogonal Decomposition ⋮ Second-order Lagrange multiplier rules in multiobjective optimal control of semilinear parabolic equations

Uses Software

• rbMIT

Cites Work

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• Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
• Multiobjective PDE-constrained optimization using the reduced-basis method
• A posteriorierror estimation for semilinear parabolic optimal control problems with application to model reduction by POD
• CERTIFIED REDUCED BASIS METHODS FOR NONAFFINE LINEAR TIME-VARYING AND NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
• POD-Galerkin approximations in PDE-constrained optimization
• Multicriteria Optimization
• Reduced basis method for finite volume approximations of parametrized linear evolution equations

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