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 problems in
these fields are discussed

John, Volker

Knobloch, Petr

Novo, Julia

English

Repositorium für Naturwissenschaften und Technik

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

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 $H^1$-conforming finite elements

Publications Server of the Weierstrass Institute for Applied Analysis and Stochastics

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

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 problems in these fields are discussed

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

This is post-peer-review, pre-copyedit version of an article published in Computing and Visualization in Science. The final of authenticated version is available at: https://doi.org/10.1007/s00791-018-0290-5The 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 (Formula presented.)-conforming finite elementsThe work of P. Knobloch was supported through the grant No. 16-03230S of the Czech Science Foundation. The work of J. Novo was supported by Spanish MINECO under grants MTM2013-42538-P (MINECO, ES) and MTM2016-78995-P (AEI/FEDER, UE

Biblos-e Archivo

https://repositorio.uam.es/bitstream/handle/10486/684715/finite_john_CVS_2018ps.pdf?sequence=1&isAllowed=y

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

Abstract

Similar works

Full text

Available Versions

Repositorium für Naturwissenschaften und Technik

Publications Server of the Weierstrass Institute for Applied Analysis and Stochastics

Publications Server of the Weierstrass Institute for Applied Analysis and Stochastics

Biblos-e Archivo