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arXiv · 1304.7443

Superconvergence Using Pointwise Interpolation in Convection-Diffusion Problems

Sebastian Franz
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Abstract

Considering a singularly perturbed convection-diffusion problem, we present an analysis for a superconvergence result using pointwise interpolation of Gauß-Lobatto type for higher-order streamline diffusion FEM. We show a useful connection between two different types of interpolation, namely a vertex-edge-cell interpolant and a pointwise interpolant. Moreover, different postprocessing operators are analysed and applied to model problems.

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Sebastian Franz. 2023-03-03. Superconvergence Using Pointwise Interpolation in Convection-Diffusion Problems. https://doi.org/10.1016/j.apnum.2013.07.007

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