Article citationsMore>>

Gunzburger, M. and Wang, J. (2019) Error Analysis of Fully Discrete Finite Element Approximations to an Optimal Control Problem Governed by a Time-Fractional PDE. SIAM Journal on Control and Optimization, 57, 241-263.
https://doi.org/10.1137/17M1155636

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.