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

@inproceedings{Pereira2010BLOCKPW, title={BLOCK PRECONDITIONING WITH SCHUR COMPLEMENTS FOR MONOLITHIC FLUID-STRUCTURE INTERACTIONS}, author={J. Pereira and A. Sequeira and B. Janssen and T. 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… Expand

#### 4 Citations

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

- Mathematics
- 2011

55- PDF

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

- Mathematics
- 2016

9

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

- Mathematics, Medicine
- International journal for numerical methods in biomedical engineering
- 2016

26- PDF

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

- Computer Science
- 2017

6- PDF

#### References

SHOWING 1-10 OF 19 REFERENCES

An efficient solver for the fully-coupled solution of large-displacement fluid-structure interaction problems

- Mathematics
- 2004

343- PDF

Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction

- Mathematics, Computer Science
- SIAM J. Sci. Comput.
- 2008

161- PDF

A Monolithic FEM/Multigrid Solver for an ALE Formulation of Fluid-Structure Interaction with Applications in Biomechanics

- Computer Science
- 2006

217- PDF

NUMERICAL SIMULATION OF FLUID-STRUCTURE INTERACTION BASED ON MONOLITHIC VARIATIONAL FORMULATIONS

- Mathematics
- 2010

33- PDF

Adaptive Finite Element Approximation of Fluid-Structure Interaction Based on Eulerian and Arbitrary Lagrangian-Eulerian Variational Formulations

- Computer Science
- 2007

38

Finite elements for fluid–structure interaction in ALE and fully Eulerian coordinates

- Mathematics
- 2010

109

Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept

- Mathematics, Computer Science
- SIAM J. Control. Optim.
- 2000

305

Adaptive Multilevel Methods with Local Smoothing for H1- and Hcurl-Conforming High Order Finite Element Methods

- Mathematics, Computer Science
- SIAM J. Sci. Comput.
- 2011

48