Article ID Journal Published Year Pages File Type
4638939 Journal of Computational and Applied Mathematics 2014 14 Pages PDF
Abstract

In this paper we establish the quasi-optimal convergence of the adaptive nonconforming Wilson element on the rectangular mesh. The main ingredients are a new a posteriori error estimator and a crucial observation that there is some special orthogonality between the conforming part and the nonconforming part in the energy inner product, which helps us to show the quasi-orthogonality and the discrete reliability. Finally we integrate these components in a usual way to achieve the quasi-optimal convergence.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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