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KIAM Preprint № 39, Moscow, 2021
Authors: Aronov P.S., Galanin M.P., Rodin A.S.
Comparison of methods for solving systems of linear equations occurring in tasks with a changing configuration of the contact surface
Abstract:
The article discusses iterative algorithms for solving systems of linear algebraic equations arising when solving problems of contact interaction of thermoelastic bodies with a changing configuration of the contact surface. The implementations of the modified symmetric successive upper relaxation method (MSSOR), modified successive upper relaxation method (MSOR), modified Jacobi method (MJOR) and Uzawa method as well as algorithms based on the Gauss method with two options for iterative refinement, allowing to consider the exit from the contact of the contact border sections, are presented. The results of the application of these algorithms to the demo problem that simulates thermomechanical processes in the section of the fuel element, which includes two tablets and a fragment of the shell, are presented.
Keywords:
contact problem of the elasticity theory, finite element method, mortar-method, modified method of over relaxation, Uzawa method, fuel element
Publication language: russian,  pages: 28
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Aronov Pavel Sergeevich,  orcid.org/0000-0001-5381-4743KIAM RAS
  • Galanin Mikhail Pavlovich,  orcid.org/0000-0003-0264-6270KIAM RAS
  • Rodin Alexandr Sergeevich,  orcid.org/0000-0001-5934-704XKIAM RAS