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A survey of numerical methods for convection–diffusion optimal control problems
-
Z. J. Zhou
and
N.N. Yan
Published/Copyright:
March 7, 2014
Abstract
In this paper we present a survey of numericalmethods for optimal control problems governed by convection-diffusion equations. For ease of exposition we focus on stationary convection-diffusion optimal control problems with distributed control. Several effective numericalmethods including stabilizedmethods and discontinuous Galerkinmethods are reviewed. Furthermore, we also make some investigations about convection-diffusion optimal control problems with state constraints and pointwisely imposed control.
Keywords : convection-diffusion equations; optimal control problems; streamline upwind Petrov-Galerkin method; edge stabilization Galerkin method; local projection stabilization method; interior penalty discontinuous Galerkin method; local discontinuous Galerkin method; a priori error estimates; a posteriori error estimates; adaptive finite element method
Published Online: 2014-03-07
Published in Print: 2014-03
© 2014 by Walter de Gruyter GmbH & Co.
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Articles in the same Issue
- Masthead
- Snapshot location by error equilibration in proper orthogonal decomposition for linear and semilinear parabolic partial differential equations
- Hierarchical quadrature for multidimensional singular integrals – Part II
- A survey of numerical methods for convection–diffusion optimal control problems
Keywords for this article
convection-diffusion equations;
optimal control problems;
streamline upwind Petrov-Galerkin method;
edge stabilization Galerkin method;
local projection stabilization method;
interior penalty discontinuous Galerkin method;
local discontinuous Galerkin method;
a priori error estimates;
a posteriori error estimates;
adaptive finite element method
Articles in the same Issue
- Masthead
- Snapshot location by error equilibration in proper orthogonal decomposition for linear and semilinear parabolic partial differential equations
- Hierarchical quadrature for multidimensional singular integrals – Part II
- A survey of numerical methods for convection–diffusion optimal control problems
