Finite elements for scalar convection-dominated equations and incompressible flow problems - a never ending story? - Science

Finite elements for scalar convection-dominated equations and incompressible flow problems - a never ending story?

ID: 2815, RIV: 10384578
ISSN: 1432-9360, ISBN: not specified
source: Computing and Visualization in Science
keywords: finite element method; convection-dominated equations; incompressible flow problems
authors: Volker John, Petr Knobloch, Julia Novo
authors from KNM: Knobloch Petr

Abstract

The contents of this paper is twofold. First, important recent results concerning finite element methods for convection-dominated problems and incompressible flow problems are described that illustrate the activities in these topics. Second, a number of, in our opinion, important open problems in these fields are discussed. The exposition concentrates on H1-conforming finite elements.