@Article{EAJAM-10-800, author = {Tan , ZhijunLi , Kang and Chen , Yanping}, title = {Two-Grid Finite Element Methods of Crank-Nicolson Galerkin Approximation for a Nonlinear Parabolic Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2020}, volume = {10}, number = {4}, pages = {800--817}, abstract = {

Two-grid finite element methods with the Crank-Nicolson Galerkin scheme for nonlinear parabolic equations are studied. It is shown that the methods have convergence order $\mathcal{O}$($h$ + $H$2 + (∆$t$)2) in $H$1-norm, so that a larger time step can be used in numerical calculations. In addition to saving computing time, the algorithms provide a good approximation of the problem solution and numerical examples confirm their efficiency.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.030120.120520}, url = {http://global-sci.org/intro/article_detail/eajam/17962.html} }