TY - JOUR
T1 - New Extrapolation Modulus-Based Economical Cascadic Multigrid Method for Variational Inequality Problems with Nonlinear Source Terms
AU - Lu , Xin
AU - Li , Chenliang
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 575
EP - 597
PY - 2025
DA - 2025/09
SN - 18
DO - http://doi.org/10.4208/nmtma.OA-2024-129
UR - https://global-sci.org/intro/article_detail/nmtma/24319.html
KW - Variational inequality, nonlinear source terms, new extrapolation modulus-based cascadic multigrid method, new extrapolation modulus-based economical cascadic multigrid method, iterative step control formula.
AB - <p style="text-align: justify;">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.</p>