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/ReportReportProfessional

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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 languageUndefined
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Number of pages21
ISBN (Print)0169-2690
Publication statusPublished - 2003

Publication series

NameMathematical Communications
PublisherDepartment 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

Cite this

Janivita Joto Sudirham, J. J. S., Sudirham, J. J., van der Vegt, J. J. W., & van Damme, R. M. J. (2003). A study on discontinuous Galerkin finite element methods for elliptic problems. (Mathematical Communications; No. 1690). Enschede: University of Twente, Department of Applied Mathematics.
Janivita Joto Sudirham, J.J.S. ; Sudirham, J.J. ; van der Vegt, Jacobus J.W. ; van Damme, Rudolf M.J. / A study on discontinuous Galerkin finite element methods for elliptic problems. Enschede : University of Twente, Department of Applied Mathematics, 2003. 21 p. (Mathematical Communications; 1690).
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Janivita Joto Sudirham, JJS, Sudirham, JJ, van der Vegt, JJW & van Damme, RMJ 2003, A study on discontinuous Galerkin finite element methods for elliptic problems. Mathematical Communications, no. 1690, University of Twente, Department of Applied Mathematics, Enschede.

A study on discontinuous Galerkin finite element methods for elliptic problems. / Janivita Joto Sudirham, J.J.S.; Sudirham, J.J.; van der Vegt, Jacobus J.W.; van Damme, Rudolf M.J.

Enschede : University of Twente, Department of Applied Mathematics, 2003. 21 p. (Mathematical Communications; No. 1690).

Research output: Book/ReportReportProfessional

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KW - IR-65875

KW - MSC-35J05

KW - MSC-76M10

KW - MSC-65N30

KW - EWI-3510

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

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Janivita Joto Sudirham JJS, Sudirham JJ, van der Vegt JJW, van Damme RMJ. A study on discontinuous Galerkin finite element methods for elliptic problems. Enschede: University of Twente, Department of Applied Mathematics, 2003. 21 p. (Mathematical Communications; 1690).