Parallel Solution of Elasticity Problems using Overlapping Aggregations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F18%3A00495423" target="_blank" >RIV/68145535:_____/18:00495423 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/content/pdf/10.21136%2FAM.2018.0142-17.pdf" target="_blank" >https://link.springer.com/content/pdf/10.21136%2FAM.2018.0142-17.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21136/AM.2018.0142-17" target="_blank" >10.21136/AM.2018.0142-17</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Parallel Solution of Elasticity Problems using Overlapping Aggregations

Popis výsledku v původním jazyce

The finite element (FE) solution of geotechnical elasticity problems leads to the solution of a large system of linear equations. For solving the system, we use the preconditioned conjugate gradient (PCG) method with two-level additive Schwarz preconditioner. The preconditioning is realised in parallel. A coarse space is usually constructed using an aggregation technique. If the finite element spaces for coarse and fine problems on structural grids are fully compatible, relations between elements of matrices of the coarse and fine problems can be derived. By generalization of these formulae, we obtain an overlapping aggregation technique for the construction of a coarse space with smoothed basis functions. The numerical tests are presented at the end of the paper.

Název v anglickém jazyce

Parallel Solution of Elasticity Problems using Overlapping Aggregations

Popis výsledku anglicky

The finite element (FE) solution of geotechnical elasticity problems leads to the solution of a large system of linear equations. For solving the system, we use the preconditioned conjugate gradient (PCG) method with two-level additive Schwarz preconditioner. The preconditioning is realised in parallel. A coarse space is usually constructed using an aggregation technique. If the finite element spaces for coarse and fine problems on structural grids are fully compatible, relations between elements of matrices of the coarse and fine problems can be derived. By generalization of these formulae, we obtain an overlapping aggregation technique for the construction of a coarse space with smoothed basis functions. The numerical tests are presented at the end of the paper.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

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

63

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

26

Strana od-do

603-628

Kód UT WoS článku

000453844300002

EID výsledku v databázi Scopus

2-s2.0-85050562604