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 ČR3cav_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