4.7 Article

On the MAOR method for a class of hydrodynamic lubrication problems

期刊

APPLIED MATHEMATICS LETTERS
卷 121, 期 -, 页码 -

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2021.107521

关键词

Hydrodynamic lubrication; Horizontal linear complementarity problem; Modulus-based accelerated overrelaxation iteration

资金

  1. Major Projects of Guangdong Education Department for Foundation Research and Applied Research, China [2018KZDXM065]
  2. Science and Technology Development Fund, Macau SAR [0073/2019/A2]
  3. Science Foundation of Shaoguan University [SZ2020KJ01]

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This paper analyzes the efficiency of the MAOR method in solving horizontal linear complementarity problems arising from finite-difference discretizations of hydrodynamic lubrication. The convergence range of the relaxation parameters is given and numerical examples are provided to demonstrate the effectiveness of the proposed theoretical results.
In this paper, for solving horizontal linear complementarity problems arising from finite-difference discretizations of hydrodynamic lubrication, the modulus-based accelerated overrelaxation iteration method (MAOR) is analyzed. The convergence range of the relaxation parameters is given, shown to be the generalization of the case of successive overrelaxation. Numerical examples show the efficiency of the MAOR method with the proposed theoretical results. (C) 2021 Elsevier Ltd. All rights reserved.

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