On the stability of the space-time discontinuous Galerkin method for the numerical solution of nonstationary nonlinear convection-diffusion problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10314858" target="_blank" >RIV/00216208:11320/15:10314858 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1515/jnma-2015-0014" target="_blank" >http://dx.doi.org/10.1515/jnma-2015-0014</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/jnma-2015-0014" target="_blank" >10.1515/jnma-2015-0014</a>
Alternative languages
Result language
angličtina
Original language name
On the stability of the space-time discontinuous Galerkin method for the numerical solution of nonstationary nonlinear convection-diffusion problems
Original language description
The subject of this paper is the analysis of the space-time discontinuous Galerkin method for the solution of nonstationary, nonlinear, convection-diffusion problems. In the formulation of the numerical scheme, the nonsymmetric, symmetric and incompleteversions of the discretization of diffusion terms and interior and boundary penalty are used. Then error estimates are briefly characterized. The main attention is paid to the investigation of unconditional stability of the method. An important tool is the concept of the discrete characteristic function. Theoretical results are accompanied by numerical experiments.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
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
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Numerical Mathematics
ISSN
1570-2820
e-ISSN
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Volume of the periodical
23
Issue of the periodical within the volume
3
Country of publishing house
DE - GERMANY
Number of pages
23
Pages from-to
211-233
UT code for WoS article
000364569500002
EID of the result in the Scopus database
2-s2.0-84946836468