@Article{NMTMA-13-4,
author = {Yanping, Chen and Zhou, Zhaojie and Song, Jiabin and Yanping, Chen},
title = {Finite Element Approximation of Space Fractional Optimal Control Problem with Integral State Constraint},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2020},
volume = {13},
number = {4},
pages = {1027--1049},
abstract = {<p style="text-align: justify;">In this paper finite element approximation of space fractional optimal
control problem with integral state constraint is investigated. First order optimal
condition and regularity of the control problem are discussed. A priori error estimates for control, state, adjoint state and lagrange multiplier are derived. The
nonlocal property of the fractional derivative results in a dense coefficient matrix of
the discrete state and adjoint state equation. To reduce the computational cost a fast
projection gradient algorithm is developed based on the Toeplitz structure of the coefficient matrix. Numerical experiments are carried out to illustrate the theoretical
findings.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2019-0201},
url = {https://global-sci.com/article/90379/finite-element-approximation-of-space-fractional-optimal-control-problem-with-integral-state-constraint}
}