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An H-matrix Type Preconditioner For Frictional Contact Problems†

  1. Lotfi Abdelhakim

Article first published online: 1 DEC 2004

DOI: 10.1002/pamm.200410155

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PAMM

PAMM

Volume 4, Issue 1, pages 348–349, December 2004

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How to Cite

Abdelhakim, L. (2004), An H-matrix Type Preconditioner For Frictional Contact Problems. Proc. Appl. Math. Mech., 4: 348–349. doi: 10.1002/pamm.200410155

Author Information

  1. Széchenyi István University Of Applied Sciences, Department of Mathematics, P.O.Box 701, H-9007 Győr, Hungary

  1. †

    This work was supported by OTKA N° T043258.

Publication History

  1. Issue published online: 1 DEC 2004
  2. Article first published online: 1 DEC 2004

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Abstract

The bilateral or unilateral contact problem with Coulomb friction between two elastic bodies is considered [1]. An algorithm is introduced to solve the resulting finite element system by a non-overlapping domain decomposition method [2, 3]. The global problem is transformed to a independant local problems posed in each bodie and a problem posed on the contact surface (the interface problem). The solution is obtained by using a successive approximation method, in each step of this algorithm we solve two intermediate problems the first with prescribed tangential pressure and the second with prescribed normal pressure [8]. Our preconditioner construction is based on the application of the H-matrix technique [6, 7] together with the representation of the H1/2 seminorm by a sum of partial seminorms [4]. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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