On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F22%3A10250238" target="_blank" >RIV/61989100:27740/22:10250238 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27240/22:10250238

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s00211-022-01307-x" target="_blank" >https://link.springer.com/article/10.1007/s00211-022-01307-x</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00211-022-01307-x" target="_blank" >10.1007/s00211-022-01307-x</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition

Popis výsledku v původním jazyce

The hybrid FETI-DP method proposed by Klawonn and Rheinbach uses a two-level decomposition of the domain into subdomains and clusters. Here we give bounds on the regular condition number of the clusters obtained by interconnecting the Schur complements of square elastic subdomains by the average rigid body modes of adjacent edges. Using the angles of subspaces and bounds on the spectrum of the subdomains&apos; Schur complements, we show that the conditioning of clusters comprising in x m square subdomains increases proportionally to m. The estimate supports the scalability of the unpreconditioned hybrid FETI-DP method for both linear and contact problems. The numerical experiments confirm the efficiency of a coarse grid split between the primal and dual variables and indicate that hybrid FETI-DP with large clusters is a competitive tool for solving huge elasticity problems.

Název v anglickém jazyce

On the spectrum of Schur complements of 2D elastic clusters joined by rigid edge modes and hybrid domain decomposition

Popis výsledku anglicky

The hybrid FETI-DP method proposed by Klawonn and Rheinbach uses a two-level decomposition of the domain into subdomains and clusters. Here we give bounds on the regular condition number of the clusters obtained by interconnecting the Schur complements of square elastic subdomains by the average rigid body modes of adjacent edges. Using the angles of subspaces and bounds on the spectrum of the subdomains&apos; Schur complements, we show that the conditioning of clusters comprising in x m square subdomains increases proportionally to m. The estimate supports the scalability of the unpreconditioned hybrid FETI-DP method for both linear and contact problems. The numerical experiments confirm the efficiency of a coarse grid split between the primal and dual variables and indicate that hybrid FETI-DP with large clusters is a competitive tool for solving huge elasticity problems.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

—

Rok uplatnění

2022

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

0945-3245

Svazek periodika

152

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

26

Strana od-do

41-66

Kód UT WoS článku

000838464900001

EID výsledku v databázi Scopus

2-s2.0-85136958205