A Comparison of TFETI and TBETI for Numerical Solution of Engineering Problems of Contact Mechanics

Abstract

Since the introduction of Finite Element Tearing and Interconnecting (FETI) by Farhat and Roux in 1991, the method has been recognized to be an efficient parallel technique for the solution of partial differential equations. In 2003 Langer and Steinbach formulated its boundary element counterpart (BETI), which reduces the problem dimension to subdomain boundaries. Recently, we have applied both FETI and BETI to contact problems of mechanics. In this paper we numerically compare their variants bearing the prefix Total (TFETI/TBETI) on a frictionless Hertz contact problem and on a realistic problem with a given friction. © Springer-Verlag Berlin Heidelberg 2013.