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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
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