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

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
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