| bibtype |
C -
Conference Paper (international conference)
|
| ARLID |
0579519 |
| utime |
20240402214918.1 |
| mtime |
20231214235959.9 |
| title
(primary) (eng) |
Numerical minimization of energy functionals in continuum mechanics using hp-FEM in MATLAB |
| specification |
| page_count |
3 s. |
| media_type |
E |
|
| serial |
| ARLID |
cav_un_epca*0577231 |
| ISBN |
978-80-261-1177-1 |
| title
|
Computational mechanics 2023. Proceedings of computational mechanics 2023 |
| page_num |
130-132 |
| publisher |
| place |
Plzeň |
| name |
University of West Bohemia |
| year |
2023 |
|
| editor |
|
| editor |
|
| editor |
|
|
| keyword |
hp-FEM |
| keyword |
energy functionals |
| keyword |
numerical minimization |
| author
(primary) |
| ARLID |
cav_un_auth*0459832 |
| name1 |
Moskovka |
| name2 |
Alexej |
| institution |
UTIA-B |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept (eng) |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department (eng) |
MTR |
| country |
CZ |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0255186 |
| name1 |
Frost |
| name2 |
Miroslav |
| institution |
UT-L |
| full_dept (cz) |
D 5 - Ultrazvukové metody |
| full_dept |
D 5 - Ultrasonic Methods |
| full_dept |
D5 – Ultrasonic Methods |
| country |
CZ |
| fullinstit |
Ústav termomechaniky 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 |
GA22-20181S |
| agency |
GA ČR |
| country |
CZ |
| ARLID |
cav_un_auth*0435651 |
|
| project |
| project_id |
GF21-06569K |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0412957 |
|
| abstract
(eng) |
Many processes in mechanics and thermodynamics can be formulated as a minimization of a particular energy functional. The finite element method can be used for an approximation of such functionals in a finite-dimensional subspace. Consequently, the numerical minimization methods (such as quasi-Newton and trust region) can be used to find a minimum of the functional. Vectorization techniques used for the evaluation of the energy together with the assembly of discrete energy gradient and Hessian sparsity are crucial for evaluation times. A particular model simulating the deformation of a Neo-Hookean solid body is solved in this contribution by minimizing the corresponding energy functional. We implement both P1 and rectangular hp-finite elements and compare their efficiency with respect to degrees of freedom and evaluation times. |
| action |
| ARLID |
cav_un_auth*0457147 |
| name |
Computational mechanics 2023 /38./ |
| dates |
20231023 |
| mrcbC20-s |
20231025 |
| place |
Srní |
| country |
CZ |
|
| RIV |
BC |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10102 |
| reportyear |
2024 |
| num_of_auth |
3 |
| mrcbC47 |
UTIA-B 10000 10100 10101 |
| mrcbC52 |
4 A 4a 20231215090811.6 |
| presentation_type |
PR |
| mrcbC55 |
UTIA-B BA |
| inst_support |
RVO:61388998 |
| inst_support |
RVO:67985556 |
| permalink |
https://hdl.handle.net/11104/0349460 |
| cooperation |
| ARLID |
cav_un_auth*0296535 |
| name |
Ústav teorie informace a automatizace AV ČR |
| institution |
ÚTIA AV ČR |
| country |
CZ |
|
| confidential |
S |
| arlyear |
2023 |
| mrcbTft |
\nSoubory v repozitáři: 0579519_Numerical minimization of energy functionals_Moskovka_CM_2023.pdf |
| mrcbU14 |
SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
WOS |
| mrcbU56 |
pdf |
| mrcbU63 |
cav_un_epca*0577231 Computational mechanics 2023. Proceedings of computational mechanics 2023 University of West Bohemia 2023 Plzeň 130 132 978-80-261-1177-1 |
| mrcbU67 |
Adámek V. 340 |
| mrcbU67 |
Jonášová A. 340 |
| mrcbU67 |
Plánička S. 340 |
|