Article ID Journal Published Year Pages File Type
4631432 Applied Mathematics and Computation 2010 10 Pages PDF
Abstract
In this paper, we shall investigate the superconvergence property of quadratic elliptical optimal control problems by triangular mixed finite element methods. The state and co-state are approximated by the order k = 1 Raviart-Thomas mixed finite elements and the control is discretized by piecewise constant functions. We prove the superconvergence error estimate of h2 in L2-norm between the approximated solution and the interpolation of the exact control variable. Moreover, by postprocessing technique, we find that the projection of the discrete adjoint state is superclose (in order h2) to the exact control variable.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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