Publications in Scientific Journals:
C. Erath, D. Praetorius:
"Optimal adaptivity for the SUPG finite element method";
Computer Methods in Applied Mechanics and Engineering,
353
(2019),
308
- 327.
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
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.cma.2019.05.028
Created from the Publication Database of the Vienna University of Technology.