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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2014 Volume 11, Pages 220–228 (Mi semr483)

This article is cited in 1 paper

Computational mathematics

Solving of contact mechanics problem using h-adaptive finite element method

Yu. O. Yashchuka, I. I. Prokopyshynb

a Ivan Franko National University of L'viv
b Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine, L'vov

Abstract: We present an effective methodology of solving contact mechanics problems. The main feature is combining iterative domain decomposition method with h-adaptive finite element method, which were developed earlier by the authors. We demonstrate the usability of a new algorithm applying it to a test problem. The resulting mesh reveals a singularity near the contact zone.

Keywords: finite element method, boundary element method, mesh refinement, contact mechanics, domain decomposition.

UDC: 517.958,519.6,539.3

MSC: 65N30,65N38,65N50,65N55

Received October 18, 2013, published March 15, 2014



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