On the uniform stability of the space-time discontinuous Galerkin method for nonstationary problems in time-dependent domains
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10331415" target="_blank" >RIV/00216208:11320/16:10331415 - isvavai.cz</a>
Result on the web
<a href="http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/issue/view/19" target="_blank" >http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/issue/view/19</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On the uniform stability of the space-time discontinuous Galerkin method for nonstationary problems in time-dependent domains
Original language description
In this paper we investigate the stability of the space-time discontinuous Galerkin method (STDGM) for the solution of nonstationary, linear convection-diusion-reaction problem in time-dependent domains formulated with the aid of the arbitrary Lagrangian-Eulerian (ALE) method. The stability is uniform with respect to the diusion coecient. The ALE method replaces the classical partial time derivative with the so called ALE-derivative and an additional convective term. In the second part of the paper we discretize our problem using the space-time discontinuous Galerkin method. In the formulation of the numerical scheme we use the nonsymmetric, symmetric and incomplete versions of the space discretization of diffusion terms and interior and boundary penalty. The space discretization uses piecewise polynomial approximations of degree p greater than 1, in time we use only piecewise linear discretization. Finally in the third part of the paper we present our results concerning the uniform unconditional stability of the method.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
PROCEEDINGS OF THE CONFERENCE ALGORITMY 2016
ISBN
978-80-227-4544-4
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
84-92
Publisher name
Slovak University of Technology in Bratislava, Faculty of Civil Engineering, Department of Mathematics and Descriptive Geometry
Place of publication
Bratislava
Event location
Vysoké Tatry - Podbanské, Slovakia
Event date
Mar 13, 2016
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000391175600009