MATHICSE-GroupAntolin Sanchez, PabloBuffa, AnnalisaFabre, Mathieu Jonathan2019-09-202019-09-202019-09-202017-04-0510.5075/epfl-MATHICSE-270582https://infoscience.epfl.ch/handle/20.500.14299/161418In 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 threedimensional_and in small and large deformations demonstrate the accuracy of the proposed_method.MATHICSE Technical Report : A priori error for unilateral contact problems with Lagrange multipliers and IsoGeometric Analyistext::working paper