论文信息 - A Parallel Preconditioning for the Nonlinear Stokes Problem

A Parallel Preconditioning for the Nonlinear Stokes Problem

We discuss a parallel preconditioner for the algebraic systems of equations arising from Newton-Raphson linearization and finite element (FE) discretization of stabilized formulation for the highly nonlinear Stokes equations. We compare SSOR/Jacobi and FSAI(1)/Jacobi preconditioners for the parallel MINRES accelerator implemented using C++/OpenMP. Results are presented for SGI Altix 3700 and IBM Power4 machines. As an example a simulation of the compression test of the rigid-viscoplastic material is shown.

Krzysztof Boryczko | Pawel J. Matuszyk

[1] T. Hughes,et al. A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuscka-Brezzi condition: A stable Petrov-Galerkin formulation of , 1986 .

[2] L. Kolotilina,et al. Factorized Sparse Approximate Inverse Preconditionings I. Theory , 1993, SIAM J. Matrix Anal. Appl..

[3] Robert H. Wagoner,et al. Metal Forming Analysis , 2001 .

[4] Yong Liu,et al. Stabilized finite element method for viscoplastic flow: formulation and a simple progressive solution strategy , 2001 .