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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

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • 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

  • 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