@Article{NMTMA-18-575, author = {Lu , Xin and Li , Chenliang}, title = {New Extrapolation Modulus-Based Economical Cascadic Multigrid Method for Variational Inequality Problems with Nonlinear Source Terms}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2025}, volume = {18}, number = {3}, pages = {575--597}, abstract = {
In this paper, we combine a new extrapolation formula with a cascadic multigrid method to solve variational inequality problems with nonlinear source terms. We construct a new extrapolation modulus-based cascadic multigrid method and a new extrapolation modulus-based economical cascadic multigrid method. Based on a new formula for controlling the number of iterations, the convergence is analyzed. Numerical experiments demonstrate the effectiveness of the proposed methods.
}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2024-129}, url = {http://global-sci.org/intro/article_detail/nmtma/24319.html} }