Podrobnosti záznamu

Název
    A TFETI domain decomposition solver for elastoplastic problems
Autor
    Čermák, M.
    Kozubek, T.
    Sysala, Stanislav
    Valdman, J.
    Valdman, Jan
Jazyk
    anglicky
Typ dokumentu
    článek v odborném periodiku
Zdrojový dokument - seriál
    Applied Mathematics and Computation
Svazek/č.
    Roč. 231, č. 1
Strany
    s. 634-653
Rok
    2014
Poznámky
    Autoři celkem: 4
    Projekt: GA13-18652S, GA ČR3cav_un_auth*0292653
    Rozsah: 20 s. : E
    Rozsah: 20 s. : P
Předmětová kategorie
    domain decomposition method
    elastoplasticity
    elastoplasticitys
    finite element
    Finite element method
    Semismooth Newton method
    Total FETI domain decomposition method
Klíčové slovo
    Decomposition
    Domain
    Elastoplastic
    Problems
    Solver
    TFETI
Abstrakt (anglicky)
   We propose an algorithm for the efficient parallel implementation of elastoplastic problems with hardening based on the so-called TFETI (Total Finite Element Tearing and Interconnecting) domain decomposition method. We consider an associated elastoplastic model with the von Mises plastic criterion and the linear isotropic hardening law. Such a model is discretized by the implicit Euler method in time and the consequent one time step elastoplastic problem by the finite element method in space. The latter results in a system of nonlinear equations with a strongly semismooth and strongly monotone operator. The semismooth Newton method is applied to solve this nonlinear system. Corresponding linearized problems arising in the Newton iterations are solved in parallel by the above mentioned TFETI domain decomposition method. The proposed TFETI based algorithm was implemented in Matlab parallel environment and its performance was illustrated on a 3D elastoplastic benchmark.
   Numerical results for different time discretizations and mesh levels are presented and discussed and a local quadratic convergence of the semismooth Newton method is observed.

   We propose an algorithm for the efficient parallel implementation of elastoplastic problems with hardening based on the so-called TFETI (Total Finite Element Tearing and Interconnecting) domain decomposition method.
Přispěvatel
    AV ČR Brno, Ústav geoniky
Kód přispěvatele
    AV ČR, ÚG
Zdrojový formát
    U
Datum importu
    24. 10. 2014