The local discontinuous Galerkin method for the Oseen equations

Bernardo Cockburn; Guido Kanschat; Dominik Schötzau

doi:10.1090/S0025-5718-03-01552-7

The local discontinuous Galerkin method for the Oseen equations

Bernardo Cockburn, Guido Kanschat, Dominik Schötzau

Mathematics

Research output: Contribution to journal › Article › peer-review

79 Scopus citations

Abstract

We introduce and analyze the local discontinuous Galerkin method for the Oseen equations of incompressible fluid flow. For a class of shape-regular meshes with hanging nodes, we derive optimal a priori estimates for the errors in the velocity and the pressure in L ²- and negative-order norms, Numerical experiments are presented which verify these theoretical results and show that the method performs well for a wide range of Reynolds numbers.

Original language	English (US)
Pages (from-to)	569-593
Number of pages	25
Journal	Mathematics of Computation
Volume	73
Issue number	246
DOIs	https://doi.org/10.1090/S0025-5718-03-01552-7
State	Published - Apr 2004

Keywords

Discontinuous Galerkin methods
Finite elements
Oseen equations

Access

10.1090/S0025-5718-03-01552-7

OpenUrl availability

Full text

Cite this

@article{c397ef5f7e6d478da75e75eb49dbc5e3,

title = "The local discontinuous Galerkin method for the Oseen equations",

abstract = "We introduce and analyze the local discontinuous Galerkin method for the Oseen equations of incompressible fluid flow. For a class of shape-regular meshes with hanging nodes, we derive optimal a priori estimates for the errors in the velocity and the pressure in L 2- and negative-order norms, Numerical experiments are presented which verify these theoretical results and show that the method performs well for a wide range of Reynolds numbers.",

keywords = "Discontinuous Galerkin methods, Finite elements, Oseen equations",

author = "Bernardo Cockburn and Guido Kanschat and Dominik Sch{\"o}tzau",

year = "2004",

month = apr,

doi = "10.1090/S0025-5718-03-01552-7",

language = "English (US)",

volume = "73",

pages = "569--593",

journal = "Mathematics of Computation",

issn = "0025-5718",

publisher = "American Mathematical Society",

number = "246",

}

TY - JOUR

T1 - The local discontinuous Galerkin method for the Oseen equations

AU - Cockburn, Bernardo

AU - Kanschat, Guido

AU - Schötzau, Dominik

PY - 2004/4

Y1 - 2004/4

N2 - We introduce and analyze the local discontinuous Galerkin method for the Oseen equations of incompressible fluid flow. For a class of shape-regular meshes with hanging nodes, we derive optimal a priori estimates for the errors in the velocity and the pressure in L 2- and negative-order norms, Numerical experiments are presented which verify these theoretical results and show that the method performs well for a wide range of Reynolds numbers.

AB - We introduce and analyze the local discontinuous Galerkin method for the Oseen equations of incompressible fluid flow. For a class of shape-regular meshes with hanging nodes, we derive optimal a priori estimates for the errors in the velocity and the pressure in L 2- and negative-order norms, Numerical experiments are presented which verify these theoretical results and show that the method performs well for a wide range of Reynolds numbers.

KW - Discontinuous Galerkin methods

KW - Finite elements

KW - Oseen equations

UR - http://www.scopus.com/inward/record.url?scp=1642602854&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1642602854&partnerID=8YFLogxK

U2 - 10.1090/S0025-5718-03-01552-7

DO - 10.1090/S0025-5718-03-01552-7

M3 - Article

AN - SCOPUS:1642602854

SN - 0025-5718

VL - 73

SP - 569

EP - 593

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 246

ER -

The local discontinuous Galerkin method for the Oseen equations

Abstract

Keywords

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this