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Received July 8, 2021; Accepted September 17, 2021; Published October 15, 2021
Abstract. In this paper, we consider a splitting positive definite mixed finite element approximation scheme for parabolic optimal control problems with an integral constraint. The main purpose of this paper is to derive the convergence and superconvergence of numerical solutions for the control, state, and adjoint state variables. A numerical example is provided to demonstrate the convergence and superconvergence results.
How to Cite this Article:
Yuchun Hua, Yuelong Tang, A splitting positive definite mixed finite element method for parabolic control problems with integral constraints, Journal of Nonlinear Functional Analysis, Vol. 2021 (2021), Article ID 35, pp. 1-15.