On optimal node and polynomial degree distribution in one-dimensional hp-FEM

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F13%3A00204186" target="_blank" >RIV/68407700:21110/13:00204186 - isvavai.cz</a>

Výsledek na webu

<a href="http://link.springer.com/content/pdf/10.1007%2Fs00607-012-0232-x" target="_blank" >http://link.springer.com/content/pdf/10.1007%2Fs00607-012-0232-x</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00607-012-0232-x" target="_blank" >10.1007/s00607-012-0232-x</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On optimal node and polynomial degree distribution in one-dimensional hp-FEM

Popis výsledku v původním jazyce

We are concerned with the task of constructing an optimal higher-order finite element mesh under a constraint on the total number of degrees of freedom. The motivation for this work is to obtain a truly optimal higher-order finite element mesh that can be used to compare the quality of automatic adaptive algorithms. Minimized is the approximation error in a global norm. Optimization variables include the number of elements, positions of nodes, and polynomial degrees of elements. Optimization methods andsoftware that we use are described, and numerical results are presented.We are concerned with the task of constructing an optimal higher-order finite element mesh under a constraint on the total number of degrees of freedom. The motivation for this workis to obtain a truly optimal higher-order finite element mesh that can be used to compare the quality of automatic adaptive algorithms. Minimized is the approximation error in a global norm. Optimization variables include the number of e

Název v anglickém jazyce

On optimal node and polynomial degree distribution in one-dimensional hp-FEM

Popis výsledku anglicky

We are concerned with the task of constructing an optimal higher-order finite element mesh under a constraint on the total number of degrees of freedom. The motivation for this work is to obtain a truly optimal higher-order finite element mesh that can be used to compare the quality of automatic adaptive algorithms. Minimized is the approximation error in a global norm. Optimization variables include the number of elements, positions of nodes, and polynomial degrees of elements. Optimization methods andsoftware that we use are described, and numerical results are presented.We are concerned with the task of constructing an optimal higher-order finite element mesh under a constraint on the total number of degrees of freedom. The motivation for this workis to obtain a truly optimal higher-order finite element mesh that can be used to compare the quality of automatic adaptive algorithms. Minimized is the approximation error in a global norm. Optimization variables include the number of e

Druh

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

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

<a href="/cs/project/GAP105%2F10%2F1682" target="_blank" >GAP105/10/1682: Řešení rozsáhlých hydro-termo-mechanických úloh pomocí adaptivní MKP</a><br>

Návaznosti

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

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

Computing

ISSN

0010-485X

e-ISSN

—

Svazek periodika

95

Číslo periodika v rámci svazku

1 Suppl.

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

14

Strana od-do

"S75"-"S88"

Kód UT WoS článku

000338630100007

EID výsledku v databázi Scopus

—