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Received June 2, 2022; Accepted September 6, 2022; Published October 7, 2022
Abstract In this paper, we investigate a fully discrete characteristic mixed finite element approximation of bilinear convection-diffusion optimal control problems. The characteristic line method and backward difference are used for the time discretization. The lowest order Raviart-Thomas mixed finite element method is used for the space discretization. A priori error estimates for both the control and state numerical solutions are derived. Theoretical results are confirmed by a numerical example.
How to Cite this Article:
Y. Tang, A characteristic mixed finite element method for bilinear convection-diffusion optimal control problems, J. Nonlinear Funct. Anal. 2022 (2022) 39.