POD-Based Augmented Lagrangian Method for State Constrained Heat-Convection Phenomena
DOI10.1007/978-3-030-21013-7_9zbMath1427.80005OpenAlexW2883016492MaRDI QIDQ4973310
Jonas Siegfried Jehle, Luca Mechelli, Stefan Volkwein
Publication date: 3 December 2019
Published in: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018 (Search for Journal in Brave)
Full work available at URL: http://nbn-resolving.de/urn:nbn:de:bsz:352-2-gh534968czve7
state constraintsconvection-diffusion equationproper orthogonal decompositionaugmented Lagrangian method
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Existence theories for optimal control problems involving partial differential equations (49J20) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- POD a-posteriori error analysis for optimal control problems with mixed control-state constraints
- A virtual control concept for state constrained optimal control problems
- POD a-posteriori error estimates for linear-quadratic optimal control problems
- Augmented Lagrangian method for distributed optimal control problems with state constraints
- Augmented Lagrangian methods for nonsmooth, convex optimization in Hilbert spaces
- POD-based economic model predictive control for heat-convection phenomena
- POD-based economic optimal control of heat-convection phenomena
- Lagrange Multiplier Approach to Variational Problems and Applications
- Optimization with PDE Constraints
- Model Reduction and Approximation
- A posteriori snapshot location for POD in optimal control of linear parabolic equations
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- Proper orthogonal decomposition for optimality systems