A study on discontinuous Galerkin finite element methods for elliptic problems

J.J.S. Janivita Joto Sudirham; J.J. Sudirham; Jacobus J.W. van der Vegt; Rudolf M.J. van Damme

A study on discontinuous Galerkin finite element methods for elliptic problems

J.J.S. Janivita Joto Sudirham, J.J. Sudirham, Jacobus J.W. van der Vegt, Rudolf M.J. van Damme

Research output: Book/Report › Report › Professional

70 Downloads (Pure)

Abstract

In this report we study several approaches of the discontinuous Galerkin finite element methods for elliptic problems. An important aspect in these formulations is the use of a lifting operator, for which we present an efficient numerical approximation technique. Numerical experiments for two different discontinuous Galerkin methods are presented for one dimensional problems and compared with exact results. In addition, the theoretical order of accuracy is verified numerically.

Original language	Undefined
Place of Publication	Enschede
Publisher	University of Twente, Department of Applied Mathematics
Number of pages	21
ISBN (Print)	0169-2690
Publication status	Published - 2003

Publication series

Name	Mathematical Communications
Publisher	Department of Applied Mathematics, University of Twente
No.	1690
ISSN (Print)	0169-2690

Keywords

METIS-212904
IR-65875
MSC-35J05
MSC-76M10
MSC-65N30
EWI-3510

Access to Document

1690
open
1690
open

Cite this

@book{261e37d17122447cb76fb9ac02be1e60,

title = "A study on discontinuous Galerkin finite element methods for elliptic problems",

abstract = "In this report we study several approaches of the discontinuous Galerkin finite element methods for elliptic problems. An important aspect in these formulations is the use of a lifting operator, for which we present an efficient numerical approximation technique. Numerical experiments for two different discontinuous Galerkin methods are presented for one dimensional problems and compared with exact results. In addition, the theoretical order of accuracy is verified numerically.",

keywords = "METIS-212904, IR-65875, MSC-35J05, MSC-76M10, MSC-65N30, EWI-3510",

author = "{Janivita Joto Sudirham}, J.J.S. and J.J. Sudirham and {van der Vegt}, {Jacobus J.W.} and {van Damme}, {Rudolf M.J.}",

note = "Imported from MEMORANDA",

year = "2003",

language = "Undefined",

isbn = "0169-2690",

series = "Mathematical Communications",

publisher = "University of Twente, Department of Applied Mathematics",

number = "1690",

}

TY - BOOK

T1 - A study on discontinuous Galerkin finite element methods for elliptic problems

AU - Janivita Joto Sudirham, J.J.S.

AU - Sudirham, J.J.

AU - van der Vegt, Jacobus J.W.

AU - van Damme, Rudolf M.J.

N1 - Imported from MEMORANDA

PY - 2003

Y1 - 2003

N2 - In this report we study several approaches of the discontinuous Galerkin finite element methods for elliptic problems. An important aspect in these formulations is the use of a lifting operator, for which we present an efficient numerical approximation technique. Numerical experiments for two different discontinuous Galerkin methods are presented for one dimensional problems and compared with exact results. In addition, the theoretical order of accuracy is verified numerically.

AB - In this report we study several approaches of the discontinuous Galerkin finite element methods for elliptic problems. An important aspect in these formulations is the use of a lifting operator, for which we present an efficient numerical approximation technique. Numerical experiments for two different discontinuous Galerkin methods are presented for one dimensional problems and compared with exact results. In addition, the theoretical order of accuracy is verified numerically.

KW - METIS-212904

KW - IR-65875

KW - MSC-35J05

KW - MSC-76M10

KW - MSC-65N30

KW - EWI-3510

M3 - Report

SN - 0169-2690

T3 - Mathematical Communications

BT - A study on discontinuous Galerkin finite element methods for elliptic problems

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -