2018/03/30 by Mathieu Fabre, Fabre, Mathieu
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #Contact Mechanics and Variational Inequalities #Elasticity and Material Modeling #FOS: Mathematics #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1803.11380
openalex publication_date 2018/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 p for the displacement and the pushforward of a B-Spline space of degree p-2 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 N2/S0 and N3/S1 elements.