Space-time discontinuous Galerkin method for parabolic problems in time-dependent domains Part II. Analysis

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

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Abstract

In this report we analyze further the space-time discontinuous Galerkin (DG) finite element method for the solution of the advection-diffusion-reaction equation in time-dependent domains. We prove that the method is consistent, stable, coercive, and gives a unique solution. We also analyze the error estimates and $hp$-convergence of the method. The analysis is completed by analyzing the corresponding dual problems.
Original languageUndefined
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Number of pages26
ISBN (Print)0169-2690
Publication statusPublished - 2004

Publication series

NameMemoranda
PublisherDepartment of Applied Mathematics, University of Twente
No.1733
ISSN (Print)0169-2690

Keywords

  • EWI-3553
  • IR-65917
  • MSC-35K20
  • METIS-218344
  • MSC-76M10
  • MSC-65M60

Cite this

Janivita Joto Sudirham, J. J. S., Sudirham, J. J., van der Vegt, J. J. W., & van Damme, R. M. J. (2004). Space-time discontinuous Galerkin method for parabolic problems in time-dependent domains Part II. Analysis. (Memoranda; No. 1733). 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. / Space-time discontinuous Galerkin method for parabolic problems in time-dependent domains Part II. Analysis. Enschede : University of Twente, Department of Applied Mathematics, 2004. 26 p. (Memoranda; 1733).
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abstract = "In this report we analyze further the space-time discontinuous Galerkin (DG) finite element method for the solution of the advection-diffusion-reaction equation in time-dependent domains. We prove that the method is consistent, stable, coercive, and gives a unique solution. We also analyze the error estimates and $hp$-convergence of the method. The analysis is completed by analyzing the corresponding dual problems.",
keywords = "EWI-3553, IR-65917, MSC-35K20, METIS-218344, MSC-76M10, MSC-65M60",
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Janivita Joto Sudirham, JJS, Sudirham, JJ, van der Vegt, JJW & van Damme, RMJ 2004, Space-time discontinuous Galerkin method for parabolic problems in time-dependent domains Part II. Analysis. Memoranda, no. 1733, University of Twente, Department of Applied Mathematics, Enschede.

Space-time discontinuous Galerkin method for parabolic problems in time-dependent domains Part II. Analysis. / 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, 2004. 26 p. (Memoranda; No. 1733).

Research output: Book/ReportReportProfessional

TY - BOOK

T1 - Space-time discontinuous Galerkin method for parabolic problems in time-dependent domains Part II. Analysis

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

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AU - van Damme, Rudolf M.J.

N1 - Imported from MEMORANDA

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Y1 - 2004

N2 - In this report we analyze further the space-time discontinuous Galerkin (DG) finite element method for the solution of the advection-diffusion-reaction equation in time-dependent domains. We prove that the method is consistent, stable, coercive, and gives a unique solution. We also analyze the error estimates and $hp$-convergence of the method. The analysis is completed by analyzing the corresponding dual problems.

AB - In this report we analyze further the space-time discontinuous Galerkin (DG) finite element method for the solution of the advection-diffusion-reaction equation in time-dependent domains. We prove that the method is consistent, stable, coercive, and gives a unique solution. We also analyze the error estimates and $hp$-convergence of the method. The analysis is completed by analyzing the corresponding dual problems.

KW - EWI-3553

KW - IR-65917

KW - MSC-35K20

KW - METIS-218344

KW - MSC-76M10

KW - MSC-65M60

M3 - Report

SN - 0169-2690

T3 - Memoranda

BT - Space-time discontinuous Galerkin method for parabolic problems in time-dependent domains Part II. Analysis

PB - University of Twente, Department of Applied Mathematics

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Janivita Joto Sudirham JJS, Sudirham JJ, van der Vegt JJW, van Damme RMJ. Space-time discontinuous Galerkin method for parabolic problems in time-dependent domains Part II. Analysis. Enschede: University of Twente, Department of Applied Mathematics, 2004. 26 p. (Memoranda; 1733).