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Paper detail

An a posteriori error analysis based on equilibrated stresses for finite element approximations of frictional contact

We consider the unilateral contact problem between an elastic body and a rigid foundation in a description that includes both Tresca and Coulomb friction conditions. For this problem, we present an a posteriori error analysis based on an equilibrated stress reconstruction in the Arnold--Falk--Winther space that includes a guaranteed upper bound distinguishing the different components of the error. This analysis is the starting point for the development of an adaptive algorithm including a stopping criterion for the generalized Newton method. This algorithm is then used to perform numerical simulations that validate the theoretical results.

preprint2024arXivOpen access
Ilaria FontanaDaniele A. Di Pietro
math.NANumerical Analysis
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Ilaria FontanaDaniele A. Di Pietro

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