2019/09/29 by Sara Calandrini, Calandrini, Sara, Eugenio Aulisa +3 · 1 citation
Computer Science · Engineering · #Advanced Numerical Methods in Computational Mathematics #Computational Physics (physics.comp-ph) #Elasticity and Material Modeling #FOS: Mathematics #FOS: Physical sciences #Matrix Theory and Algorithms #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1909.13201
openalex publication_date 2019/09/29 · openalex created_date 2019/10/03 · openalex updated_date 2026/07/28
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 sub-solvers, 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 field-split 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.