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has been cited by the following article:
TITLE: Convergence and Superconvergence of Fully Discrete Finite Element for Time Fractional Optimal Control Problems
AUTHORS: Yuelong Tang
KEYWORDS: Time Fractional Optimal Control Problems, Finite Element, Convergence and Superconvergence
JOURNAL NAME: American Journal of Computational Mathematics, Vol.11 No.1, March 25, 2021
ABSTRACT: In this paper, we consider a fully discrete finite element approximation for time fractional optimal control problems. The state and adjoint state are approximated by triangular linear fi nite elements in space and L1 scheme in time. The control is obtained by the variational discretization technique. The main purpose of this work is to derive the convergence and superconvergence. A numerical example is presented to validate our theoretical results.