Neumann control of unstable parabolic systems: Numerical approach
From MaRDI portal
Publication:1384050
DOI10.1023/A:1022606915736zbMath0952.49026MaRDI QIDQ1384050
Publication date: 21 September 2000
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
boundary controlfinite-difference methodsunstable systemspenalty methodstime discretizationBratu problemreaction-advection-diffusion equationsspace discretizationfinite-element methodsconjugate gradient algorithms
Optimality conditions for problems involving partial differential equations (49K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Discrete approximations in optimal control (49M25)
Related Items
A Numerical Approach to the Control and Stabilization of Advection-Diffusion Systems: Application to Viscous Drag Reduction, Control problems for convection-diffusion equations with control localized on manifolds, On the numerical solution of a semilinear elliptic eigenproblem of Lane–Emden type, II: Numerical experiments, Dirichlet feedback control for the stabilization of the wave equation: a numerical approach, Active control and drag optimization for flow past a circular cylinder. I: Oscillatory cylinder rotation
Cites Work
- Multiple limit point bifurcation
- On exact and approximate boundary controllabilities for the heat equation: A numerical approach
- Mathematical problems from combustion theory
- Positive solutions of convex nonlinear eigenvalue problems
- Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
- Iterations, perturbations and multiplicities for nonlinear bifurcation problems
- Continuation-Conjugate Gradient Methods for the Least Squares Solution of Nonlinear Boundary Value Problems
- Arc-Length Continuation and Multigrid Techniques for Nonlinear Elliptic Eigenvalue Problems
- Perturbed bifurcation theory
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
