An overlapping Schwarz method for virtual element discretizations in two dimensions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00505500" target="_blank" >RIV/67985840:_____/19:00505500 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.camwa.2018.10.043" target="_blank" >http://dx.doi.org/10.1016/j.camwa.2018.10.043</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2018.10.043" target="_blank" >10.1016/j.camwa.2018.10.043</a>
Alternative languages
Result language
angličtina
Original language name
An overlapping Schwarz method for virtual element discretizations in two dimensions
Original language description
A new coarse space for domain decomposition methods is presented for nodal elliptic problems in two dimensions. The coarse space is derived from the novel virtual element methods and therefore can accommodate quite irregular polygonal subdomains. It has the advantage with respect to previous studies that no discrete harmonic extensions are required. The virtual element method allows us to handle polygonal meshes and the algorithm can then be used as a preconditioner for linear systems that arise from a discretization with such triangulations. A bound is obtained for the condition number of the preconditioned system by using a two-level overlapping Schwarz algorithm, but the coarse space can also be used for different substructuring methods. This bound is independent of jumps in the coefficient across the interface between the subdomains. Numerical experiments that verify the result are shown, including some with triangular, square, hexagonal and irregular elements and with irregular subdomains obtained by a mesh partitioner.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computers & Mathematics With Applications
ISSN
0898-1221
e-ISSN
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Volume of the periodical
77
Issue of the periodical within the volume
4
Country of publishing house
GB - UNITED KINGDOM
Number of pages
15
Pages from-to
1163-1177
UT code for WoS article
000459529100017
EID of the result in the Scopus database
2-s2.0-85056497711