Volume 38, pp. 1-16, 2011.

A preconditioner for a FETI-DP method for mortar element discretization of a 4th order problem in 2D

Leszek Marcinkowski

Abstract

In this paper 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.

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Key words

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

AMS subject classifications

65N30, 65N55

Links to the cited ETNA articles

[31]	Vol. 26 (2007), pp. 34-54 Leszek Marcinkowski: An additive Schwarz method for mortar Morley finite element discretizations of 4th order elliptic problem in 2D