A priori error for unilateral contact problems with augmented Lagrange multipliers and IsoGeometric Analysis
Numerical Analysis
2018-04-02 v1
Abstract
The aim of the present work is to extend the a priori error for contact problems with an augmented Lagrangian method. We focus on unilateral contact problem without friction between an elastic body and a rigid one. We consider the pushforward of a NURBS space of degree for the displacement and the pushforward of a B-Spline space of degree for the Lagrange multipliers. This specific choice of space is a stable couple of spaces. An optimal a priori error estimate inspired from the Nitsche's method theory is provided and compared to the regularity of the solution. We perform a numerical validation with two- and three-dimensions in small and large deformations with and elements.
Keywords
Cite
@article{arxiv.1803.11380,
title = {A priori error for unilateral contact problems with augmented Lagrange multipliers and IsoGeometric Analysis},
author = {Mathieu Fabre},
journal= {arXiv preprint arXiv:1803.11380},
year = {2018}
}