Y. Wang, M. Baboulin, J. Dongarra, J. Falcou, Y. Fraigneau et al., A Parallel Solver for Incompressible Fluid Flows, Procedia Computer Science, vol.18, issue.18, pp.439-448, 2013.
DOI : 10.1016/j.procs.2013.05.207
URL : https://hal.archives-ouvertes.fr/hal-00915356

P. Constantin and C. Foias, Navier-Stokes Equations, 1988.

A. J. Chorin, Numerical solution of the Navier-Stokes equations, Mathematics of Computation, vol.22, issue.104, pp.745-762, 1968.
DOI : 10.1090/S0025-5718-1968-0242392-2

S. Tomov, J. Dongarra, and M. Baboulin, Towards dense linear algebra for hybrid GPU accelerated manycore systems, Parallel Computing, vol.36, issue.5-6, pp.232-240, 2010.
DOI : 10.1016/j.parco.2009.12.005

M. Baboulin, J. Dongarra, and S. Tomov, Some issues in dense linear algebra for multicore and special purpose architectures, 9th International Workshop on State-of-the-Art in Scientific and Parallel Computing, pp.6126-6127, 2008.

J. and D. Jr, Alternating direction methods for three space variables, Numerische Mathematik, issue.4, pp.41-63, 1962.

J. Sherman and W. J. Morrison, Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix, The Annals of Mathematical Statistics, vol.21, issue.1, pp.124-127, 1950.
DOI : 10.1214/aoms/1177729893

Y. Saad, Iterative Methods for Sparse Linear Systems, 2003.
DOI : 10.1137/1.9780898718003

A. Mcadams, E. Sifakis, and J. Teran, A parallel multigrid Poisson solver for fluids simulation on large grids, Eurographics/ ACM SIGGRAPH Symposium on Computer Animation, 2010.

R. W. Hockney, A Fast Direct Solution of Poisson's Equation Using Fourier Analysis, Journal of the ACM, vol.12, issue.1, pp.95-113, 1994.
DOI : 10.1145/321250.321259

R. A. Usmani, Inversion of a tridiagonal Jacobi matrix. Linear Algebra and its Applications, pp.212-213413, 1994.

. Intel, Math Kernel Library (MKL) http://www. intel.com/software/products