OPTIMAL CONTROL OF SINGULARLY PERTURBED ADVECTION-DIFFUSION-REACTION PROBLEMS

DOI10.1142/S0218202510004271zbMath1193.65106MaRDI QIDQ3560024

Benjamin Tews, Gert Lube

Publication date: 19 May 2010

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

optimal controlerror estimatesstabilized finite element methodsingularly perturbed elliptic problemregularized Dirichlet control

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

A posteriori error estimators for stabilized finite element approximations of an optimal control problem ⋮ A robust numerical method for a control problem involving singularly perturbed equations ⋮ A nonuniform anisotropic FEM for elliptic boundary layer optimal control problems ⋮ Distributed and Boundary Control of Singularly Perturbed Advection-Diffusion-Reaction Problems

Uses Software

• deal.ii

Cites Work

• Unnamed Item
• Local projection stabilization for advection-diffusion-reaction problems: one-level vs. two-level approach
• Optimal control of the convection-diffusion equation using stabilized finite element methods
• Optimal control in non-convex domains: a priori discretization error estimates
• A unified convergence analysis for local projection stabilisations applied to the Oseen problem
• On the finite element approximation of functions with noninteger derivatives
• Approximation by quadrilateral finite elements

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