A preconditioner for a FETI-DP method for mortar element discretization of a 4th order problem in 2D. (English) Zbl 1205.65318

Marcinkowski, Leszek

ETNA, Electron. Trans. Numer. Anal. 38, 1-16 (2011).

Summary: A parallel preconditioner for a FETI-DP formulation for a mortar discretization of a fourth order problem is presented and analyzed. We show that the condition number of the preconditioned FETI-DP operator is proportional to \((1+\log(H/h)^2)\), where \(H\) and \(h\) are mesh sizes.

MSC:

65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N55	Multigrid methods; domain decomposition for boundary value problems involving PDEs

Keywords:

FETI-DP; mortar; nonmatching meshes; finite element; preconditioner