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A field‐split preconditioning technique for fluid‐structure interaction problems with applications in biomechanics
Author(s) -
Calandrini Sara,
Aulisa Eugenio,
Ke Guoyi
Publication year - 2020
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.3301
Subject(s) - preconditioner , multigrid method , krylov subspace , domain decomposition methods , solver , finite element method , mathematics , fluid–structure interaction , computer science , multiphysics , algorithm , computational science , iterative method , mathematical optimization , mathematical analysis , structural engineering , engineering , partial differential equation
We present a novel preconditioning technique for Krylov subspace algorithms to solve fluid‐structure interaction (FSI) linearized systems arising from finite element discretizations. An outer Krylov subspace solver preconditioned with a geometric multigrid (GMG) algorithm is used, where for the multigrid level subsolvers, a field‐split (FS) preconditioner is proposed. The block structure of the FS preconditioner is derived using the physical variables as splitting strategy. To solve the subsystems originated by the FS preconditioning, an additive Schwarz (AS) block strategy is employed. The proposed FS preconditioner is tested on biomedical FSI applications. Both 2D and 3D simulations are carried out considering aneurysm and venous valve geometries. The performance of the FS preconditioner is compared with that of a second preconditioner of pure domain decomposition type.