A field-split preconditioning technique for fluid-structure interaction problems with applications in biomechanics

09/29/2019
by   Sara Calandrini, et al.
0

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.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 12

page 17

07/30/2018

Monolithic cut finite element based approaches for fluid-structure interaction

Cut finite element method (CutFEM) based approaches towards challenging ...
08/24/2018

Composable block solvers for the four-field double porosity/permeability model

The objective of this paper is twofold. First, we propose two composable...
10/12/2019

A Variational Finite Element Discretization of Compressible Flow

We present a finite element variational integrator for compressible flow...
08/17/2021

Efficient split-step schemes for fluid-structure interaction involving incompressible generalised Newtonian flows

Blood flow, dam or ship construction and numerous other problems in biom...
02/22/2020

Efficient solvers for hybridized three-field mixed finite element coupled poromechanics

We consider a mixed hybrid finite element formulation for coupled porome...
09/29/2020

A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based flow simulations

In this work we propose a novel block preconditioner, labelled Explicit ...
07/29/2020

A parallel preconditioning technique for an all-at-once system from subdiffusion equations with variable time steps

Volterra subdiffusion problems with weakly singular kernel describe the ...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.