Theory of the space-time discontinuous Galerkin method for nonstationary parabolic problems with nonlinear convection and diffusion

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F12%3A10129170" target="_blank" >RIV/00216208:11320/12:10129170 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1137/110828903" target="_blank" >http://dx.doi.org/10.1137/110828903</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1137/110828903" target="_blank" >10.1137/110828903</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Theory of the space-time discontinuous Galerkin method for nonstationary parabolic problems with nonlinear convection and diffusion

Popis výsledku v původním jazyce

The paper presents the theory of the space-time discontinuous Galerkin finite element method for the discretization of a nonstationary convection-diffusion initial-boundary value problem with nonlinear convection and nonlinear diffusion. 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 discretization. In the space discretization the nonsymmetric, symmetric, and incomplete interior and boundary penalty approximations of diffusion terms are used. The paper is concerned with the analysis of error estimates in the "L-2(L-2)" - and "DG"-norm formed by the "L-2(H-1)"-seminorm and penalty terms. An important ingredient used in the derivation of the error estimate is the concept of the discrete characteristic function and its properties. In the "DG"-norm the error estimates are optimal with respect to the size of the space grid. They are optimal

Název v anglickém jazyce

Theory of the space-time discontinuous Galerkin method for nonstationary parabolic problems with nonlinear convection and diffusion

Popis výsledku anglicky

The paper presents the theory of the space-time discontinuous Galerkin finite element method for the discretization of a nonstationary convection-diffusion initial-boundary value problem with nonlinear convection and nonlinear diffusion. 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 discretization. In the space discretization the nonsymmetric, symmetric, and incomplete interior and boundary penalty approximations of diffusion terms are used. The paper is concerned with the analysis of error estimates in the "L-2(L-2)" - and "DG"-norm formed by the "L-2(H-1)"-seminorm and penalty terms. An important ingredient used in the derivation of the error estimate is the concept of the discrete characteristic function and its properties. In the "DG"-norm the error estimates are optimal with respect to the size of the space grid. They are optimal

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

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

SIAM Journal on Numerical Analysis

ISSN

0036-1429

e-ISSN

—

Svazek periodika

50

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

26

Strana od-do

1181-1206

Kód UT WoS článku

000310210700009

EID výsledku v databázi Scopus

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