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arXiv:1806.11000 [math.NA]AbstractReferencesReviewsResources

Optimal Adaptivity for the SUPG Finite Element Method

Christoph Erath, Dirk Praetorius

Published 2018-06-28Version 1

For convection dominated problems, the streamline upwind Petrov--Galerkin method (SUPG), also named streamline diffusion finite element method (SDFEM), ensures a stable finite element solution. Based on robust a posteriori error estimators, we propose an adaptive mesh-refining algorithm for SUPG and prove that the generated SUPG solutions converge at asymptotically optimal rates towards the exact solution.

Categories: math.NA
Subjects: 65N30, 65N15, 65N50, 65N12, 41A25, 76M10
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