| bibtype |
J -
Journal Article
|
| ARLID |
0425341 |
| utime |
20240111140844.7 |
| mtime |
20150316235959.9 |
| SCOPUS |
84893267324 |
| WOS |
000332525000056 |
| DOI |
10.1016/j.amc.2013.12.186 |
| title
(primary) (eng) |
A TFETI domain decomposition solver for elastoplastic problems |
| specification |
| page_count |
20 s. |
| media_type |
E |
|
| serial |
| ARLID |
cav_un_epca*0256160 |
| ISSN |
0096-3003 |
| title
|
Applied Mathematics and Computation |
| volume_id |
231 |
| volume |
1 (2014) |
| page_num |
634-653 |
| publisher |
|
|
| keyword |
elastoplasticity |
| keyword |
Total FETI domain decomposition method |
| keyword |
Finite element method |
| keyword |
Semismooth Newton method |
| author
(primary) |
| ARLID |
cav_un_auth*0062211 |
| name1 |
Čermák |
| name2 |
M. |
| country |
CZ |
|
| author
|
| ARLID |
cav_un_auth*0084242 |
| name1 |
Kozubek |
| name2 |
T. |
| country |
CZ |
|
| author
|
| ARLID |
cav_un_auth*0221817 |
| full_dept (cz) |
Oddělení aplikované matematiky a informatiky & Oddělení IT4Innovations |
| full_dept |
Department of applied mathematics and computer science and Department IT4Innovations |
| full_dept |
Applied Mathematics and Computer Science & IT4Innovations |
| name1 |
Sysala |
| name2 |
Stanislav |
| institution |
UGN-S |
| fullinstit |
Ústav geoniky AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0292941 |
| name1 |
Valdman |
| name2 |
Jan |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| institution |
UTIA-B |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| abstract
(eng) |
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. |
| RIV |
BA |
| reportyear |
2015 |
| num_of_auth |
4 |
| mrcbC52 |
4 A 4a 20231122140116.3 |
| inst_support |
RVO:68145535 |
| permalink |
http://hdl.handle.net/11104/0232566 |
| cooperation |
| ARLID |
cav_un_auth*0295947 |
| name |
Vysoká škola báňská - Technická univerzita Ostrava |
| institution |
VŠB |
| country |
CZ |
|
| confidential |
S |
| mrcbT16-e |
MATHEMATICSAPPLIED |
| mrcbT16-j |
0.469 |
| mrcbT16-s |
0.961 |
| mrcbT16-4 |
Q2 |
| mrcbT16-B |
31.217 |
| mrcbT16-C |
86.576 |
| mrcbT16-D |
Q3 |
| mrcbT16-E |
Q2 |
| arlyear |
2014 |
| mrcbTft |
\nSoubory v repozitáři: valdman-0427638.pdf |
| mrcbU14 |
84893267324 SCOPUS |
| mrcbU34 |
000332525000056 WOS |
| mrcbU56 |
textový soubor |
| mrcbU63 |
cav_un_epca*0256160 Applied Mathematics and Computation 0096-3003 1873-5649 Roč. 231 č. 1 2014 634 653 Elsevier |
|