Article ID Journal Published Year Pages File Type
4638943 Journal of Computational and Applied Mathematics 2014 12 Pages PDF
Abstract

In this paper, we present an a posteriori error estimator and the lower bound for a nonconforming finite element approximation, i.e. the extended Crouzeix–Raviart element, of the Laplace eigenvalue problem. Under the guideline of the analysis to the Laplace source problem, we first give out an error indicator and prove it as the global upper and local lower bounds of the approximation error. We also give the lower-bound analysis for this type of nonconforming element on the adaptive meshes. Some numerical experiments are presented to verify our theoretical results.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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