@article{Pan2023, 
author = {Jun Pan and Yuelong Tang},
title = {Two-grid        H    1  -Galerkin mixed finite elements combined with    L  1 scheme for nonlinear time fractional parabolic equations},
year = {2023},
journal = {Electronic Research Archive},
volume = {31},
number = {12},
pages = {7207-7223},
keywords = {two-grid algorithm, H1-Galerkin mixed finite element, nonlinear time fractional partial differential equations},
url = {https://www.sciopen.com/article/10.3934/era.2023365},
doi = {10.3934/era.2023365},
abstract = {In this paper, we propose a two-grid algorithm for nonlinear time fractional parabolic equations by        H    1  -Galerkin mixed finite element discreitzation. First, we use linear finite elements and Raviart-Thomas mixed finite elements for spatial discretization, and    L  1 scheme on graded mesh for temporal discretization to construct a fully discrete approximation scheme. Second, we derive the stability and error estimates of the discrete scheme. Third, we present a two-grid method to linearize the nonlinear system and discuss its stability and convergence. Finally, we confirm our theoretical results by some numerical examples.}
}