Face-to-face partition of 3D space with identical well-centered tetrahedra

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00452193" target="_blank" >RIV/67985840:_____/15:00452193 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1007/s10492-015-0115-5" target="_blank" >http://dx.doi.org/10.1007/s10492-015-0115-5</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10492-015-0115-5" target="_blank" >10.1007/s10492-015-0115-5</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Face-to-face partition of 3D space with identical well-centered tetrahedra

Popis výsledku v původním jazyce

The motivation for this paper comes from physical problems defined on bounded smooth domains $Omega $ in 3D. Numerical schemes for these problems are usually defined on some polyhedral domains $Omega _h$ and if there is some additional compactness result available, then the method may converge even if $Omega _h to Omega $ only in the sense of compacts. Hence, we use the idea of meshing the whole space and defining the approximative domains as a subset of this partition. endgraf Numerical schemes for which quantities are defined on dual partitions usually require some additional quality. One of the used approaches is the concept of emph {well-centeredness}, in which the center of the circumsphere of any element lies inside that element. We show that the one-parameter family of Sommerville tetrahedral elements, whose copies and mirror images tile 3D, build a well-centered face-to-face mesh. Then, a shape-optimal value of the parameter is computed.

Název v anglickém jazyce

Face-to-face partition of 3D space with identical well-centered tetrahedra

Popis výsledku anglicky

The motivation for this paper comes from physical problems defined on bounded smooth domains $Omega $ in 3D. Numerical schemes for these problems are usually defined on some polyhedral domains $Omega _h$ and if there is some additional compactness result available, then the method may converge even if $Omega _h to Omega $ only in the sense of compacts. Hence, we use the idea of meshing the whole space and defining the approximative domains as a subset of this partition. endgraf Numerical schemes for which quantities are defined on dual partitions usually require some additional quality. One of the used approaches is the concept of emph {well-centeredness}, in which the center of the circumsphere of any element lies inside that element. We show that the one-parameter family of Sommerville tetrahedral elements, whose copies and mirror images tile 3D, build a well-centered face-to-face mesh. Then, a shape-optimal value of the parameter is computed.

Druh

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

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

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

60

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

15

Strana od-do

637-651

Kód UT WoS článku

000367089900003

EID výsledku v databázi Scopus

2-s2.0-84950308302