Počet záznamů: 1
On the approximation of a virtual coarse space for domain decomposition methods in two dimensions
- 1.
SYSNO ASEP 0490551 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název On the approximation of a virtual coarse space for domain decomposition methods in two dimensions Tvůrce(i) Calvo, Juan Gabriel (MU-W) SAI Zdroj.dok. Mathematical Models and Methods in Applied Sciences. - : World Scientific Publishing - ISSN 0218-2025
Roč. 28, č. 7 (2018), s. 1267-1289Poč.str. 13 s. Jazyk dok. eng - angličtina Země vyd. SG - Singapur Klíč. slova domain decomposition ; irregular subdomain boundaries ; nodal elliptic problem ; soverlapping Schwarz algorithms Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics Institucionální podpora MU-W - RVO:67985840 UT WOS 000435580800002 EID SCOPUS 85045449042 DOI 10.1142/S0218202518500343 Anotace A new extension operator for a virtual coarse space is presented which can be used in domain decomposition methods for nodal elliptic problems in two dimensions. In particular, a two-level overlapping Schwarz algorithm is considered and a bound for the condition number of the preconditioned system is obtained. This bound is independent of discontinuities across the interface. The extension operator saves computational time compared to previous studies where discrete harmonic extensions are required and it is suitable for general polygonal meshes and irregular subdomains. Numerical experiments that verify the result are shown, including some with regular and irregular polygonal elements and with subdomains obtained by a mesh partitioner. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2019
Počet záznamů: 1