Publications in Scientific Journals:
C.-M. Pfeiler, D. Praetorius:
"Dörfler marking with minimal cardinality is a linear complexity problem";
Mathematics of Computation,
89
(2020),
2735
- 2752.
English abstract:
Most adaptive finite element strategies employ the Dörfler marking strategy to single out certain elements of a triangulation T for refinement. In the literature, different algorithms have been proposed to construct the set M of marked elements, where usually two goals compete: On the one hand, M should contain a minimal number of elements. On the other hand, one aims for linear costs with respect to the cardinality of T. Unlike expected in the literature, we formulate and analyze an algorithm, which constructs a minimal set M at linear costs. Throughout, pseudocodes are given.
Keywords:
Dörfler marking criterion, adaptive finite element method, optimal complexity
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1090/mcom/3553
Created from the Publication Database of the Vienna University of Technology.