Podrobnosti záznamu

Název
    Numerical and computational efficiency of solvers for two-phase problems
Autor
    Axelsson, Owe
    Boyanova, P.
    Kronbichler, M.
    Neytcheva, M.
    Wu, X.
Jazyk
    anglicky
Typ dokumentu
    článek v odborném periodiku
Zdrojový dokument - seriál
    Computers & Mathematics With Applications
Svazek/č.
    Roč. 65, č. 3
Strany
    s. 301-314
Rok
    2013
Poznámky
    Autoři celkem: 5
    Rozsah: 15 s. : E
Předmětová kategorie
    Cahn-Hilliard equation
    Inexact Newton method
    parallel tests
    preconditioning
    Quasi-Newton method
Klíčové slovo
    Computational
    Efficiency
    Numerical
    Problems
    Solvers
    Two-phase
Abstrakt (anglicky)
   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 analyse solution 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 are suitable for parallel implementation. Weillustrate the efficiency of the proposed methods by various numerical experiments, including parallel results for large scale three dimensional problems.
Přispěvatel
    AV ČR Brno, Ústav geoniky
Kód přispěvatele
    AV ČR, ÚG
Zdrojový formát
    U
Datum importu
    24. 10. 2014