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arXiv · 1701.03150

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

Pablo Antolin·Annalisa Buffa·Mathieu Fabre
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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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Pablo Antolin, Annalisa Buffa, Mathieu Fabre. 2018-02-06. A priori error for unilateral contact problems with Lagrange multiplier and IsoGeometric Analysis. https://arxiv.org/abs/1701.03150

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