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Article

Růžička, Adam ; Horák, David
Comparison of preconditioning and deflation techniques of FETI methods for problem of 2D linear elasticity. (English). In: Chleboun, J., Papež, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 23-28, 2024. , Prague, 2025. pp. 137-148
MSC: 65F08, 65F10 | DOI: 10.21136/panm.2024.13
Keywords:
FETI; domain decomposition; preconditioning; deflation
Summary:
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.
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