Distributed optimal control of lambda–omega systems

DOI10.1515/156939506776382120zbMath1104.65063OpenAlexW2144576196MaRDI QIDQ5477514

Roland Griesse, Alfio Borzì

Publication date: 3 July 2006

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939506776382120

zbMATH Keywords

convergencenumerical experimentsmultigrid methoddistributed optimal control problemsglobal optimal solutionslambda-omega systems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

Related Items (13)

Optimization of nonlocal time-delayed feedback controllers ⋮ A leapfrog multigrid algorithm for the optimal control of parabolic PDEs with Robin boundary conditions ⋮ An efficient and robust numerical algorithm for estimating parameters in Turing systems ⋮ On the optimal control of the Schlögl-model ⋮ Optimal control of a system of reaction-diffusion equations modeling the wine fermentation process ⋮ Piecewise DMD for oscillatory and Turing spatio-temporal dynamics ⋮ Multigrid second-order accurate solution of parabolic control-constrained problems ⋮ Convergence of discontinuous Galerkin approximations of an optimal control problem associated to semilinear parabolic PDE's ⋮ Reduced order optimal control of the convective FitzHugh-Nagumo equations ⋮ A new multigrid method for unconstrained parabolic optimal control problems ⋮ Optimal control of a class of reaction-diffusion systems ⋮ A leapfrog semi-smooth Newton-multigrid method for semilinear parabolic optimal control problems ⋮ Time optimal control for a reaction diffusion system arising in cardiac electrophysiology – a monolithic approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solution of lambda-omega systems: Theta-schemes and multigrid methods
• Chemical oscillations, waves, and turbulence
• Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics.
• Multigrid methods for parabolic distributed optimal control problems
• Parametric Sensitivity Analysis in Optimal Control of a Reaction Diffusion System. I. Solution Differentiability
• Spiral Wave Solutions of Practical Reaction-Diffusion Systems
• Elliptic Partial Differential Equations of Second Order
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
• On the Evolution of Periodic Plane Waves in Reaction-Diffusion Systems of $\lambda $–$\omega$ Type
• The Existence of Spiral Waves in an Oscillatory Reaction-Diffusion System
• Optimal Control of the Solid Fuel Ignition Model withH¹-Cost
• Some questions in the optimal control of distributed systems
• A Space-Time Multigrid Method for Parabolic Partial Differential Equations
• Pattern formation outside of equilibrium

This page was built for publication: Distributed optimal control of lambda–omega systems