| bibtype |
C -
Conference Paper (international conference)
|
| ARLID |
0563211 |
| utime |
20230316105815.6 |
| mtime |
20221101235959.9 |
| SCOPUS |
85127132123 |
| WOS |
000893681300059 |
| DOI |
10.1007/978-3-030-97549-4_59 |
| title
(primary) (eng) |
On the Solution of Contact Problems with Tresca Friction by the Semismooth* Newton Method |
| specification |
| page_count |
9 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0556337 |
| ISBN |
978-3-030-97548-7 |
| ISSN |
0302-9743 |
| title
|
Large-Scale Scientific Computing |
| page_num |
515-523 |
| publisher |
| place |
Cham |
| name |
Springer |
| year |
2022 |
|
| editor |
|
| editor |
|
|
| keyword |
Contact problems |
| keyword |
Tresca friction |
| keyword |
Semismooth* Newton method |
| keyword |
Finite elements |
| keyword |
Matlab implementation |
| author
(primary) |
| ARLID |
cav_un_auth*0319636 |
| name1 |
Gfrerer |
| name2 |
H. |
| country |
AT |
|
| author
|
| ARLID |
cav_un_auth*0101173 |
| name1 |
Outrata |
| name2 |
Jiří |
| institution |
UTIA-B |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0292941 |
| name1 |
Valdman |
| name2 |
Jan |
| institution |
UTIA-B |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| project_id |
GF19-29646L |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0385134 |
|
| abstract
(eng) |
An equilibrium of a linear elastic body subject to loading and satisfying the friction and contact conditions can be described by a variational inequality of the second kind and the respective discrete model attains the form of a generalized equation. To its numerical solution we apply the semismooth* Newton method by Gfrerer and Outrata (2019) in which, in contrast to most available Newton-type methods for inclusions, one approximates not only the single-valued but also the multi-valued part. This is performed on the basis of limiting (Morduchovich) coderivative. In our case of the Tresca friction, the multi-valued part amounts to the subdifferential of a convex function generated by the friction and contact conditions. The full 3D discrete problem is then reduced to the contact boundary. Implementation details of the semismooth* Newton method are provided and numerical tests demonstrate its superlinear convergence and mesh independence. |
| action |
| ARLID |
cav_un_auth*0429411 |
| name |
International Conference on Large-Scale Scientific Computing /13./ |
| dates |
20210607 |
| mrcbC20-s |
20210611 |
| place |
Sozopol |
| country |
BG |
|
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2023 |
| presentation_type |
PR |
| inst_support |
RVO:67985556 |
| permalink |
https://hdl.handle.net/11104/0335249 |
| confidential |
S |
| mrcbC86 |
n.a. Proceedings Paper Computer Science Interdisciplinary Applications|Computer Science Theory Methods|Operations Research Management Science|Mathematics Applied |
| arlyear |
2022 |
| mrcbU14 |
85127132123 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000893681300059 WOS |
| mrcbU63 |
cav_un_epca*0556337 Large-Scale Scientific Computing 978-3-030-97548-7 0302-9743 515 523 Cham Springer 2022 1. Lecture Notes in Computer Science 13127 |
| mrcbU67 |
Lirkov I. 340 |
| mrcbU67 |
Margenov S. 340 |
|