Comparison of preconditioning and deflation techniques of FETI methods for problem of 2D linear elasticity

Růžička, Adam; Horák, David

  • Programs and Algorithms of Numerical Mathematics, page 137-148

Abstract

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This paper deals with the basic preconditioning and deflation variants of the FETI-1 and TFETI-1 methods, with (T)FETI-1 with deflation being called (T)FETI-2. It also presents the results of numerical experiments performed on a simple benchmark 2D problem of linear elasticity to compare the computational efficiency of FETI-1 and TFETI-1 and each variant of their preconditioning or deflation in terms of number of executed CG iterations.

How to cite

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Růžička, Adam, and Horák, David. "Comparison of preconditioning and deflation techniques of FETI methods for problem of 2D linear elasticity." Programs and Algorithms of Numerical Mathematics. 2025. 137-148. <http://eudml.org/doc/299955>.

@inProceedings{Růžička2025,
abstract = {This paper deals with the basic preconditioning and deflation variants of the FETI-1 and TFETI-1 methods, with (T)FETI-1 with deflation being called (T)FETI-2. It also presents the results of numerical experiments performed on a simple benchmark 2D problem of linear elasticity to compare the computational efficiency of FETI-1 and TFETI-1 and each variant of their preconditioning or deflation in terms of number of executed CG iterations.},
author = {Růžička, Adam, Horák, David},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {FETI; domain decomposition; preconditioning; deflation},
pages = {137-148},
title = {Comparison of preconditioning and deflation techniques of FETI methods for problem of 2D linear elasticity},
url = {http://eudml.org/doc/299955},
year = {2025},
}

TY - CLSWK
AU - Růžička, Adam
AU - Horák, David
TI - Comparison of preconditioning and deflation techniques of FETI methods for problem of 2D linear elasticity
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2025
SP - 137
EP - 148
AB - This paper deals with the basic preconditioning and deflation variants of the FETI-1 and TFETI-1 methods, with (T)FETI-1 with deflation being called (T)FETI-2. It also presents the results of numerical experiments performed on a simple benchmark 2D problem of linear elasticity to compare the computational efficiency of FETI-1 and TFETI-1 and each variant of their preconditioning or deflation in terms of number of executed CG iterations.
KW - FETI; domain decomposition; preconditioning; deflation
UR - http://eudml.org/doc/299955
ER -

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