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On monotonicity-preserving stabilized finite element approximations of transport problems

Autor
Badia, S.; Hierro, A.
Tipus d'activitat
Article en revista
Revista
SIAM journal on scientific computing
Data de publicació
2014
Volum
36
Número
6
Pàgina inicial
A2673
Pàgina final
A2697
DOI
https://doi.org/10.1137/130927206 Obrir en finestra nova
URL
http://epubs.siam.org/doi/abs/10.1137/130927206 Obrir en finestra nova
Resum
The aim of this work is to design monotonicity-preserving stabilized finite element techniques for transport problems as a blend of linear and nonlinear (shock-capturing) stabilization. As linear stabilization, we consider and analyze a novel symmetric projection stabilization technique based on a local Scott--Zhang projector. Next, we design a weighting of the aforementioned linear stabilization such that, when combined with a finite element discretization enjoying a discrete maximum principle ...
Paraules clau
convection-dominated flows, nonlinear stabilization, shock-capturing, stabilized finite elements, transport problem
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

Participants