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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

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • 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

  • 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