A node-nested Galerkin multigrid method for metal forging simulation

Benoît Rey (1) , Katia Mocellin (1) , Lionel Fourment (1)

1 CEMEF - Centre de Mise en Forme des Matériaux

A node-nested Galerkin multigrid method is developed to solve systems provided by mixed formulations of 3D metal forming problems. An algebraic approach is used where operators are built on node-nested coarse meshes obtained by an automatic coarsening algorithm. This blackbox multigrid preconditioner is developed within the PETSc library. It is plugged to the FORGE3® finite element software. The linear rate of convergence and the very high efficiency of the resulting multigrid solver are evaluated for large scale problems with nonlinear behaviour.

Mots clés: algebraic multigrid; mixed formulation; finite element method; 3D metal forming; mesh coarsening; node-nested meshes; automatic remeshing

Domaines: Matériaux

Benoît Rey, Katia Mocellin, Lionel Fourment. A node-nested Galerkin multigrid method for metal forging simulation. EMG 2005 - Multigrid, Multilevel and Multiscale Methods, Sep 2005, Delft, Netherlands. 10 p. - ISBN 90-9020969-7. ⟨hal-00581743⟩