Title
Total-FETI domain decomposition method for solution of elasto-plastic problems
Abstract
In this paper we present an algorithm for the parallel solution of the rate-independent elasto-plastic problems with kinematic hardening. We assume the von Mises plastic criterion and the associated plastic flow rule. The time discretization is based on the implicit Euler method. The corresponding one-time-step problem is formulated in the incremental form with respect to the unknown displacement and discretized spatially by the finite element method. We use an 'external' algorithm based on a linearization of the elasto-plastic stress-strain relation by the corresponding tangential operator and we parallelize the arising linearized problem by the Total-FETI method. The numerical experiments were carried out using our novel C/C++ library FLLOP (FETI Light Layer On top of PETSc) at HECToR supercomputer located at EPCC, UK.
Year
DOI
Venue
2015
10.1016/j.advengsoft.2014.12.011
Advances in Engineering Software
Keywords
Field
DocType
domain decomposition
FETI,Discretization,Mathematical optimization,Finite element method,Operator (computer programming),Backward Euler method,von Mises yield criterion,Domain decomposition methods,Linearization,Mathematics
Journal
Volume
Issue
ISSN
84
C
0965-9978
Citations 
PageRank 
References 
0
0.34
10
Authors
5
Name
Order
Citations
PageRank
Martin Čermák100.34
Václav Hapla2225.30
David Horák3356.79
Michal Merta4175.12
Alexandros Markopoulos500.34