Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 411, Issue 1, Pages 329-339Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2013.09.019
Keywords
Tresca friction problem; Finite elements; Nitsche's method
Categories
Ask authors/readers for more resources
We propose a simple adaptation to the Tresca friction case of the Nitsche-based finite element method introduced previously for frictionless unilateral contact. Both cases of unilateral and bilateral contact with friction are taken into account, with emphasis on frictional unilateral contact for the numerical analysis. We manage to prove theoretically the fully optimal convergence rate of the method in the H-1(Omega)-norm which is O(h(1/2+nu)) when the solution lies in H3/2+nu(Omega), 0 < nu <= k - 1/2, in two dimensions and three dimensions, for Lagrange piecewise linear (k = 1) and quadratic (k = 2) finite elements. No additional assumption on the friction set is needed to obtain this proof. (C) 2013 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available