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.

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

Electronic version of the publication:

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