Analysis of space-time discontinuous Galerkin method for 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%2F11%3A10103854" target="_blank" >RIV/00216208:11320/11:10103854 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00211-010-0348-x" target="_blank" >http://dx.doi.org/10.1007/s00211-010-0348-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00211-010-0348-x" target="_blank" >10.1007/s00211-010-0348-x</a>
Alternative languages
Result language
angličtina
Original language name
Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems
Original language description
The paper presents the theory of the discontinuous Galerkin finite element method for the space-time discretization of a nonstationary convection-diffusion initial-boundary value problem with nonlinear convection and linear diffusion. The problem is notsingularly perturbed with dominating convection. The discontinuous Galerkin method is applied separately in space and time using, in general, different space grids on different time levels and different polynomial degrees p and q in space and time dicretization. In the space discretization the nonsymmetric, symmetric and incomplete interior and boundary penalty (NIPG, SIPG, IIPG) approximation of diffusion terms is used. The paper is concerned with the proof of error estimates in L2(L2)- and DG-norm formed by the L2(H1)-seminorm and penalty terms. A special technique based on the use of the Gauss-Radau interpolation and numerical integration has been used for the derivation of an abstract error estimate.
Czech name
—
Czech description
—
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
<a href="/en/project/GA201%2F08%2F0012" target="_blank" >GA201/08/0012: Qualitative analysis and numerical solution of flow problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Numerische Mathematik
ISSN
0029-599X
e-ISSN
—
Volume of the periodical
117
Issue of the periodical within the volume
2
Country of publishing house
DE - GERMANY
Number of pages
38
Pages from-to
251-288
UT code for WoS article
000287150200003
EID of the result in the Scopus database
—