Nested BDDC for a saddle-point problem

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F13%3A00438700" target="_blank" >RIV/61388998:_____/13:00438700 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s00211-013-0548-2" target="_blank" >http://dx.doi.org/10.1007/s00211-013-0548-2</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00211-013-0548-2" target="_blank" >10.1007/s00211-013-0548-2</a>

Result language

angličtina

Original language name

Nested BDDC for a saddle-point problem

Original language description

We propose a Nested BDDC for a class of saddle-point problems. The method solves for both flux and pressure variables. The fluxes are resolved in three-steps: the coarse solve is followed by subdomain solves, and last we look for a divergence-free flux correction and pressure variables using conjugate gradients with a Multilevel BDDC preconditioner. Because the coarse solve in the first step has the same structure as the original problem, we can use this procedure recursively and solve (a hierarchy of)coarse problems only approximately, utilizing the coarse problems known from the BDDC. The resulting algorithm thus first performs several upscaling steps, and then solves a hierarchy of problems that have the same structure but increase in size while sweeping down the levels, using the same components in the first and in the third step on each level, and also reusing the components from the higher levels. Because the coarsening can be quite aggressive, the number of levels can be kept s

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2013

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Numerische Mathematik

ISSN

0029-599X

e-ISSN

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Volume of the periodical

125

Issue of the periodical within the volume

4

Country of publishing house

US - UNITED STATES

Number of pages

22

Pages from-to

761-783

UT code for WoS article

000327080900006

EID of the result in the Scopus database

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