A priori error for unilateral contact problems with Lagrange multiplier and IsoGeometric Analysis

2017/01/11 by Antolin, Pablo, Buffa, Annalisa, Fabre, Mathieu
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1701.03150

Abstract

In this paper, we consider unilateral contact problem without friction between a rigid body and deformable one in the framework of isogeometric analysis. We present the theoretical analysis of the mixed problem using an active-set strategy and for a primal space of NURBS of degree p and p-2 for a dual space of B-Spline. A inf-sup stability is proved to ensure a good property of the method. An optimal a priori error estimate is demonstrated without assumption on the unknown contact set. Several numerical examples in two- and three-dimensional and in small and large deformation demonstrate the accuracy of the proposed method.

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