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.