Modulus-Based Cascadic Multigrid Method for Quasi-variational Inequality Problems

doi:10.1007/s42967-024-00421-x

Abstract

Abstract: We propose the modulus-based cascadic multigrid (MCMG) method and the modulus-based economical cascadic multigrid method for solving the quasi-variational inequalities problem. The modulus-based matrix splitting iterative method is adopted as a smoother, which can accelerate the convergence of the new methods. We also give the convergence analysis of these methods. Finally, some numerical experiments confirm the theoretical analysis and show that the new methods can achieve high efficiency and lower costs simultaneously.

Key words: Quasi-variational inequality, Modulus-based cascadic multigrid (MCMG) method, Modulus-based matrix splitting iteration method, Convergence

Ke-Yu Gao, Chen-Liang Li. Modulus-Based Cascadic Multigrid Method for Quasi-variational Inequality Problems[J]. Communications on Applied Mathematics and Computation, 2025, 7(5): 1977-1992.

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References

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