Open AccessThe effect of algorithm parameters on the number of iterations of the dual fat boundary method
Author(s) -
Liu Kui,
Ziqi Hu
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1941/1/012003
Subject(s) - mathematics , convergence (economics) , successive over relaxation , relaxation (psychology) , dirichlet boundary condition , boundary (topology) , boundary value problem , dirichlet distribution , range (aeronautics) , elasticity (physics) , dual (grammatical number) , mathematical analysis , domain (mathematical analysis) , iterative method , mathematical optimization , physics , local convergence , materials science , psychology , social psychology , literature , art , economics , composite material , thermodynamics , economic growth
The Dual Fat Boundary Method (DFBM) is an improvement of the Fat Boundary Method (FBM), which is proposed to solve elasticity problems defined on a perforated domain. The DFBM does not need an analytical solution in the holes, so it is suitable for any reasonable hole shapes and Dirichlet boundary conditions on the holes. However, as an iteration method, the relationship between iteration times and algorithmic parameters has not been studied. Here we give a numerical study by taking the perforated infinite plate problem as an example. It reveals that the relaxation parameters for two local domains should be equal to obtain the fastest convergence. Furthermore, the number of iterations for DFBM is smaller than FBM in the larger range of relaxation parameters despite of the decreasing range of convergence.