Goal-oriented error estimates including algebraic errors in discontinuous Galerkin discretizations of linear boundary value problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10369396" target="_blank" >RIV/00216208:11320/17:10369396 - isvavai.cz</a>

Výsledek na webu

<a href="http://am.math.cas.cz/am62-6/4.html" target="_blank" >http://am.math.cas.cz/am62-6/4.html</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21136/AM.2017.0177-17" target="_blank" >10.21136/AM.2017.0177-17</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Goal-oriented error estimates including algebraic errors in discontinuous Galerkin discretizations of linear boundary value problems

Popis výsledku v původním jazyce

We deal with a posteriori error control of discontinuous Galerkin approximations for linear boundary value problems. The computational error is estimated in the framework of the Dual Weighted Residual method (DWR) for goal-oriented error estimation. This requires to solve the primal as well as dual linear algebraic problems arising from the discretization. We focus on the control of the algebraic errors arising from iterative solutions of both algebraic systems. Moreover, we present two different reconstructions techniques allowing an efficient evaluation of the error estimators. Finally, we propose a complex algorithm, which enables estimation of the error with respect to the goal functional and adaptation of the mesh in the close to optimal manner with respect to this quantity. The performance of the algorithm is demonstrated by several numerical examples.

Název v anglickém jazyce

Goal-oriented error estimates including algebraic errors in discontinuous Galerkin discretizations of linear boundary value problems

Popis výsledku anglicky

We deal with a posteriori error control of discontinuous Galerkin approximations for linear boundary value problems. The computational error is estimated in the framework of the Dual Weighted Residual method (DWR) for goal-oriented error estimation. This requires to solve the primal as well as dual linear algebraic problems arising from the discretization. We focus on the control of the algebraic errors arising from iterative solutions of both algebraic systems. Moreover, we present two different reconstructions techniques allowing an efficient evaluation of the error estimators. Finally, we propose a complex algorithm, which enables estimation of the error with respect to the goal functional and adaptation of the mesh in the close to optimal manner with respect to this quantity. The performance of the algorithm is demonstrated by several numerical examples.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA17-01747S" target="_blank" >GA17-01747S: Teorie a numerická analýza sdružených problémů dynamiky tekutin</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Applications of Mathematics

ISSN

0862-7940

e-ISSN

—

Svazek periodika

62

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

27

Strana od-do

579-605

Kód UT WoS článku

000419946700004

EID výsledku v databázi Scopus

2-s2.0-85039840498