A spatial domain decomposition method for parabolic optimal control problems
From MaRDI portal
Publication:869527
DOI10.1016/j.cam.2006.02.002zbMath1117.65099OpenAlexW2038633935WikidataQ58047977 ScholiaQ58047977MaRDI QIDQ869527
Michael Herty, Matthias Heinkenschloss
Publication date: 8 March 2007
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2006.02.002
domain decompositionpreconditionerslinear-quadratic parabolic optimal control problemsNeumann-Neumann methods
Numerical optimization and variational techniques (65K10) Linear-quadratic optimal control problems (49N10) Decomposition methods (49M27) Existence theories for optimal control problems involving partial differential equations (49J20)
Related Items
Time domain decomposition of parabolic control problems based on discontinuous Galerkin semi-discretization, Hybrid domain decomposition filters for advection-diffusion PDEs with mobile sensors, Learning physics-based models from data: perspectives from inverse problems and model reduction, Control of a consumer‐resource agent‐based model using partial differential equation approximation, Resource allocation in a PDE ecosystem model, A Schwarz domain decomposition method with gradient projection for optimal control governed by elliptic partial differential equations, Lossy compression in optimal control of cardiac defibrillation, Efficient time domain decomposition algorithms for parabolic PDE-constrained optimization problems, Parallel D-D type domain decomposition algorithm for optimal control problem governed by parabolic partial differential equation, Overlapping domain decomposition methods for linear inverse problems, An optimal algorithm for global optimization and adaptive covering, A non-overlapping DDM combined with the characteristic method for optimal control problems governed by convection-diffusion equations, A Complex Homographic Best Approximation Problem. Application to Optimized Robin--Schwarz Algorithms, and Optimal Control Problems
Uses Software
Cites Work
- A time-domain decomposition iterative method for the solution of distributed linear quadratic optimal control problems
- On some control problems in fluid mechanics
- Domain decomposition, optimal control of systems governed by partial differential equations, and synthesis of feedback laws
- A domain decomposition preconditioner for an advection-diffusion problem
- Domain decomposition methods in optimal control of partial differential equations
- Software for simplified Lanczos and QMR algorithms
- A non-overlapping domain decomposition method for the advection-diffusion problem
- Domain decomposition methods for advection-dominated linear-quadratic elliptic optimal control problems
- Time-domain decomposition of optimal control problems for the wave equation
- Fast Solution of Optimal Control Problems in the Selective Cooling of Steel
- Neumann--Neumann Domain Decomposition Preconditioners for Linear-Quadratic Elliptic Optimal Control Problems
- A Robin-Robin preconditioner for an advection-diffusion problem
- Balancing Neumann-Neumann Methods for Elliptic Optimal Control Problems
- Perspectives in Flow Control and Optimization
- Optimal boundary control of glass cooling processes
- A Domain Decomposition Method with Coupled Transmission Conditions for the Optimal Control of Systems Governed by Elliptic Partial Differential Equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item