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Numerical analysis of a contact problem between two thermoviscoelastic beams
Author(s) -
Copetti M. I. M.
Publication year - 2011
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20544
Subject(s) - finite element method , mathematics , partial derivative , penalty method , partial differential equation , numerical analysis , mathematical analysis , element (criminal law) , mathematical optimization , physics , political science , law , thermodynamics
We propose and analyze in this article a finite element approximation, based on a penalty formulation, to a quasi‐static unilateral contact problem between two thermoviscoelastic beams. An error bound is given and some numerical experiments discussed. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 644–661, 2011
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