On a selective reuse of Krylov subspaces in Newton-Krylov approaches for nonlinear elasticity

Pierre Gosselet (1) , Christian Rey (1)

1 LM2S - Laboratoire de Modélisation, Matériaux et Structures

We consider the resolution of large-scale nonlinear problems arising from the finite-element discretization of geometrically non-linear structural analysis problems. We use a classical Newton Raphson algorithm to handle the non-linearity which leads to the resolution of a sequence of linear systems with noninvariant matrices and right hand sides. The linear systems are solved using the FETI-2 algorithm. We show how the reuse, as a coarse problem, of a pertinent selection of the information generated during the resolution of previous linear systems, stored inside Krylov subspaces, leads to interesting acceleration of the convergence of the current system.

Mots clés: domain decomposition method; Krylov solvers; nonlinear problems

Domaines: Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]

Pierre Gosselet, Christian Rey. On a selective reuse of Krylov subspaces in Newton-Krylov approaches for nonlinear elasticity. Fourteenth international conference on domain decomposition methods, Jan 2002, Cocoyoc, Mexico. pp.419-426. ⟨hal-00277780⟩