ON CONDITIONING OF SCHUR COMPLEMENTS OF H-TFETI CLUSTERS FOR 2D PROBLEMS GOVERNED BY LAPLACIAN

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F17%3A10237703" target="_blank" >RIV/61989100:27240/17:10237703 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27740/17:10237703

Výsledek na webu

<a href="http://articles.math.cas.cz/10.21136/AM.2017.0193-17" target="_blank" >http://articles.math.cas.cz/10.21136/AM.2017.0193-17</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21136/AM.2017.0193-17" target="_blank" >10.21136/AM.2017.0193-17</a>

Jazyk výsledku

angličtina

Název v původním jazyce

ON CONDITIONING OF SCHUR COMPLEMENTS OF H-TFETI CLUSTERS FOR 2D PROBLEMS GOVERNED BY LAPLACIAN

Popis výsledku v původním jazyce

Bounds on the spectrum of the Schur complements of subdomain stiffness matrices with respect to the interior variables are key ingredients in the analysis of many domain decomposition methods. Here we are interested in the analysis of floating clusters, i.e. subdomains without prescribed Dirichlet conditions that are decomposed into still smaller subdomains glued on primal level in some nodes and/or by some averages. We give the estimates of the regular condition number of the Schur complements of the clusters arising in the discretization of problems governed by 2D Laplacian. The estimates depend on the decomposition and discretization parameters and gluing conditions. We also show how to plug the results into the analysis of H-TFETI methods and compare the estimates with numerical experiments. The results are useful for the analysis and implementation of powerful massively parallel scalable algorithms for the solution of variational inequalities.

Název v anglickém jazyce

ON CONDITIONING OF SCHUR COMPLEMENTS OF H-TFETI CLUSTERS FOR 2D PROBLEMS GOVERNED BY LAPLACIAN

Popis výsledku anglicky

Bounds on the spectrum of the Schur complements of subdomain stiffness matrices with respect to the interior variables are key ingredients in the analysis of many domain decomposition methods. Here we are interested in the analysis of floating clusters, i.e. subdomains without prescribed Dirichlet conditions that are decomposed into still smaller subdomains glued on primal level in some nodes and/or by some averages. We give the estimates of the regular condition number of the Schur complements of the clusters arising in the discretization of problems governed by 2D Laplacian. The estimates depend on the decomposition and discretization parameters and gluing conditions. We also show how to plug the results into the analysis of H-TFETI methods and compare the estimates with numerical experiments. The results are useful for the analysis and implementation of powerful massively parallel scalable algorithms for the solution of variational inequalities.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

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>S - Specificky vyzkum na vysokych skolach

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

20

Strana od-do

699-718

Kód UT WoS článku

000419946700009

EID výsledku v databázi Scopus

2-s2.0-85039848847