Year: 2025
Type: article
Abstract: This paper introduces a two-grid multipoint flux mixed finite element (MFMFE) method for solving nonlinear parabolic problems. The MFMFE method is advantageous due to its ability to decouple saddle point algebraic systems. The two-grid algorithm transforms nonlinear problems into smaller nonlinear systems on coarse grids and linear problems on fine grids, facilitating rapid decoupling of nonlinear equations. We present semi-discrete and fully discrete backward Euler schemes for the model problem. Theoretical results demonstrate the convergence order of velocity and pressure. A numerical example validates the effectiveness of the proposed algorithm, showing that the two-grid MFMFE method significantly reduces CPU running time compared to the standard MFMFE method.
DOI: 10.11948/20240209
Authors: Wenwen Xu, Xindong Li, Nana Song, Lu Yang, Xiqian Yuan
Institution: Qilu University of Technology
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4411533713