A characteristic finite element method for optimal control problems governed by convection-diffusion equations

Authors:
Hongfei Fu
Affiliations:
-
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

Citing 9
Cited 2

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A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations

Computational Optimization and Applications

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Abstract

In this paper we analyze a characteristic finite element approximation of convex optimal control problems governed by linear convection-dominated diffusion equations with pointwise inequality constraints on the control variable, where the state and co-state variables are discretized by piecewise linear continuous functions and the control variable is approximated by either piecewise constant functions or piecewise linear discontinuous functions. A priori error estimates are derived for the state, co-state and the control. Numerical examples are given to show the efficiency of the characteristic finite element method.