Error analysis for a Crouzeix-Raviart approximation of the p-Dirichlet problem
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In the present paper, we examine a Crouzeix-Raviart approximation for non-linear partial differential equations having a (p,δ)-structure for some p∈ (1,∞) and δ≥ 0. We establish a priori error estimates, which are optimal for all p∈ (1,∞) and δ≥ 0, medius error estimates, i.e., best-approximation results, and a primal-dual a posteriori error estimate, which is both reliable and efficient. The theoretical findings are supported by numerical experiments.
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