Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F08%2F0012" target="_blank" >GA201/08/0012: Kvalitativní analýza a numerické řešení problémů proudění</a><br>

Návaznosti

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

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Numerische Mathematik

ISSN

0029-599X

e-ISSN

—

Svazek periodika

117

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

38

Strana od-do

251-288

Kód UT WoS článku

000287150200003

EID výsledku v databázi Scopus

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