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A modulus-based cascadic multigrid method for elliptic variational inequality problems

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Abstract

In this paper, by using a modulus-based matrix splitting method as a smoother, a new modulus-based cascadic multigrid method is presented for solving elliptic variational inequality problems. Convergence of the new method is analyzed. Numerical experiments confirm the theoretical analysis and show the efficiency of the proposed method.

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Authors and Affiliations

  1. College of Sciences, Shanghai Institute of Technology, Shanghai, 201418, China

    Yan Wang

  2. School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin, China

    Chenliang Li

Authors
  1. Yan Wang
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  2. Chenliang Li
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Correspondence to Chenliang Li.

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Competing interests

This work was supported by the National Natural Science Foundation of China (Grant Numbers 12161027 and 11661027), Guangxi Natural Science Foundation (Grant Number 2020GXNSFAA159143), and Guangxi Science and Technology Base and Talent Project (Grant Number 2021AC06001).

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Wang, Y., Li, C. A modulus-based cascadic multigrid method for elliptic variational inequality problems. Numer Algor 90, 1777–1791 (2022). https://doi.org/10.1007/s11075-021-01251-1

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  • DOI: https://doi.org/10.1007/s11075-021-01251-1

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