Error analysis for a Crouzeix–Raviart approximation of the obstacle problem
Year: 2025
Type: article
Abstract: In the present paper, we study a Crouzeix–Raviart approximation of the obstacle problem, which imposes the obstacle constraint in the midpoints ( i.e. , barycenters) of the elements of a triangulation. We establish a priori error estimates imposing natural regularity assumptions, which are optimal, and the reliability and efficiency of a primal-dual type a posteriori error estimator for general obstacles and involving data oscillation terms stemming only from the right-hand side. Numerical experiments are carried out to support the theoretical findings.
Source: Journal of Numerical Mathematics
Authors: Sören Bartels, Alex Kaltenbach
Institutions: University of Freiburg, Technische Universität Berlin
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,712
OpenAlex ID: W4414454068