Theoretically Supported Scalable FETI for Numerical Solution of Variational Inequalities
SIAM Journal on Numerical Analysis
An a Posteriori Error Estimator for Two-Body Contact Problems on Non-Matching Meshes
Journal of Scientific Computing
Mathematical and Computer Modelling: An International Journal
Different a posteriori error estimators and indicators for contact problems
Mathematical and Computer Modelling: An International Journal
Bayesian assimilation of multi-fidelity finite element models
Computers and Structures
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In this paper, we consider a domain decomposition algorithm associated to a finite element method to approximate a unilateral frictionless contact problem between two elastic bodies. We present a global error estimator that takes into account of the error introduced by finite element analysis as well as the error introduced by the iterative resolution of the domain decomposition algorithm. The control of these error sources is a key point in order to introduce adaptive techniques and we propose error indicators that estimate the contribution of each source of error.