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

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

Research output: Book/Report › Report › Professional

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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 language	Undefined
Place of Publication	Enschede
Publisher	University of Twente
Number of pages	26
ISBN (Print)	0169-2690
Publication status	Published - 2004

Publication series

Name	Memoranda
Publisher	Department 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

Access to Document

http://www.math.utwente.nl/publications/2004/1733.pdf

Cite this

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

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",

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 = "2004",

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

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 - 2004

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

CY - Enschede

ER -