Stabilization Strategies for High Order Methods for Transport Dominated Problems

Erik Burman (1) , Alfio Quarteroni (2) , Benjamin Stamm (3)

1 department of mathematics
2 CMCS-EPFL - CMCS-EPFL
3 LJLL - Laboratoire Jacques-Louis Lions

Standard high order Galerkin methods, such as pure spectral or high order finite element methods, have insufficient stability properties when applied to transport dominated problems. In this paper we review some stabilization strategies for pure spectral methods and spectral multidomain approaches.

Domaines: Analyse numérique [math.NA]

Erik Burman, Alfio Quarteroni, Benjamin Stamm. Stabilization Strategies for High Order Methods for Transport Dominated Problems. Bollettino dell'Unione Matematica Italiana, 2008, 1 (1), pp.57-78. ⟨hal-01090933⟩