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Contributions to Books:

C. Erath, D. Praetorius:
"Optimal adaptivity for the SUPG finite element method";
in: "ASC Report 17/2018", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2018, ISBN: 978-3-902627-11-7, 1 - 20.



English abstract:
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.

Keywords:
streamline upwind Petrov-Galerkin method (SUPG), streamline diffusion


Electronic version of the publication:
http://www.asc.tuwien.ac.at/preprint/2018/asc17x2018.pdf


Created from the Publication Database of the Vienna University of Technology.