Full Text: PDF
DOI: 10.23952/jnfa.2022.26
Received December 24, 2021; Accepted May 10, 2022; Published July 5, 2022
Abstract In this paper, we consider a fully discrete finite element approximation of bilinear parabolic optimal control problems with an integral constraint. First, we give an approximation scheme of the model problem, where triangular finite element and backward Euler methods are used. Second, we introduce some useful intermediate variables, interpolation operators and related error estimates. Thirdly, we derive a new superconvergence between the numerical solutions and projection functions of exact solutions. Finally, a numerical example is provided to verify our results.
How to Cite this Article:
Y. Tang, Y. Hua, A new superconvergence of finite elements for bilinear parabolic optimal control problems, J. Nonlinear Funct. Anal. 2022 (2022) 26.