# BLOCK PRECONDITIONING WITH SCHUR COMPLEMENTS FOR MONOLITHIC FLUID-STRUCTURE INTERACTIONS

@inproceedings{Pereira2010BLOCKPW, title={BLOCK PRECONDITIONING WITH SCHUR COMPLEMENTS FOR MONOLITHIC FLUID-STRUCTURE INTERACTIONS}, author={Jos{\'e} C. F. Pereira and Ad{\'e}lia Sequeira and B{\"a}rbel Janssen and Thomas Wick}, year={2010} }

We introduce a block preconditioner for monolithic 'arbitrary Lagrangian- Eulerian' (ALE) uid-structure interactions based on nite elements. While using this framework all equations arising from uid and structure are treated in a common co- ordinate system. After spatial discretization of the continuous problem by the Galerkin method, the arising system is non-linear and solved by Newton's method. For large problems with many unknowns, at least for 3d problems, good candidates to solve the…

## 4 Citations

### Solving Monolithic Fluid-Structure Interaction Problems in Arbitrary Lagrangian Eulerian Coordinates with the deal.II Library

- Computer Science
- 2011

The results show that this implementation of a nonlinear fluid-structure interaction problem and the corresponding solution process in the finite element software package deal.II is able to produce comparable findings.

### Parallel Algorithms for the Solution of Large-Scale Fluid-Structure Interaction Problems in Hemodynamics

- Computer Science
- 2016

A new block parallel preconditioner is developed for the coupled linearized FSI system obtained after space and time discretization, and can be regarded as an alternative to the mortar element method: it combines the accuracy of the latter with the easiness of implementation in a numerical code.

### Numerical modeling of fluid–structure interaction in arteries with anisotropic polyconvex hyperelastic and anisotropic viscoelastic material models at finite strains

- EngineeringInternational journal for numerical methods in biomedical engineering
- 2016

A highly nonlinear, polyconvex anisotropic structural model for the solid in the context of fluid-structure interaction, together with a suitable discretization is applied, and it is shown that the curved geometry enables the analysis of non-rotationally symmetric distributions of the mechanical fields.

### Fluid-structure interaction for vascular flows: from supercomputers to laptops

- Computer Science
- 2017

A fluid-structure interaction computational model where both the fluid and the structure are three dimensional and a parallel solver based on domain decomposition and a FaCSI preconditioner is presented, allowing a dramatic reduction of the computational time.

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