SDFEM with non-standard higher-order finite elements for a convection-diffusion problem with characteristic boundary layers |
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Authors: | Sebastian Franz |
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Affiliation: | 1.Department of Mathematics and Statistics,University of Limerick,Limerick,Ireland |
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Abstract: | Considering a singularly perturbed problem with exponential and characteristic layers, we show convergence for non-standard higher-order finite elements using the streamline diffusion finite element method (SDFEM). Moreover, for the standard higher-order space Qpmathcal {Q}_{p} supercloseness of the numerical solution w.r.t. an interpolation of the exact solution in the streamline diffusion norm of order p+1/2 is proved. |
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