Numerical and computational efficiency of solvers for two-phase problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F13%3A00388267" target="_blank" >RIV/68145535:_____/13:00388267 - isvavai.cz</a>
Result on the web
<a href="http://ac.els-cdn.com/S0898122112004191/1-s2.0-S0898122112004191-main.pdf?_tid=e77dd742-63a2-11e2-9070-00000aab0f02&acdnat=1358756389_e11eaef264d0bac8123c4a00be3f6efa" target="_blank" >http://ac.els-cdn.com/S0898122112004191/1-s2.0-S0898122112004191-main.pdf?_tid=e77dd742-63a2-11e2-9070-00000aab0f02&acdnat=1358756389_e11eaef264d0bac8123c4a00be3f6efa</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2012.05.020" target="_blank" >10.1016/j.camwa.2012.05.020</a>
Alternative languages
Result language
angličtina
Original language name
Numerical and computational efficiency of solvers for two-phase problems
Original language description
We consider two-phase flow problems, modelled by the Cahn?Hilliard equation. In this work, the nonlinear fourth-order equation is decomposed into a system of two coupled second-order equations for the concentration and the chemical potential. We analysesolution methods based on an approximate two-by-two block factorization of the Jacobian of the nonlinear discrete problem. We propose a preconditioning technique that reduces the problem of solving the non-symmetric discrete Cahn?Hilliard system to a problem of solving systems with symmetric positive definite matrices where off-the-shelf multilevel and multigrid algorithms are directly applicable. The resulting solution methods exhibit optimal convergence and computational complexity properties and aresuitable for parallel implementation. Weillustrate the efficiency of the proposed methods by various numerical experiments, including parallel results for large scale three dimensional problems.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
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
65
Issue of the periodical within the volume
3
Country of publishing house
GB - UNITED KINGDOM
Number of pages
15
Pages from-to
301-314
UT code for WoS article
000315239900002
EID of the result in the Scopus database
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