Full Text: PDF
DOI: 10.23952/jnfa.2023.3
Received October 14, 2022; Accepted December 2, 2022; Published January 28, 2023
Abstract In this paper, we investigate a two-grid scheme for semilinear parabolic equations discretized by -Galerkin mixed finite element method combined with Crank-Nicolson scheme. Based on the interpolation and duality argument technique, we discuss superclose properties for two-grid method and -Galerkin mixed finite element method. The interpolation theory plays an important role in convergence analysis. Theoretical results demonstrate that the two methods have the same convergence order by choosing . Finally, a numerical example is given to verify the theoretical results.
How to Cite this Article:
L. Zhou, M. Wei, Superclose analysis of -Galerkin mixed finite element methods combined with two-grid scheme for semilinear parabolic equations, J. Nonlinear Funct. Anal. 2023 (2023) 3.