Full metadata record
| DC pole | Hodnota | Jazyk |
|---|---|---|
| dc.contributor.author | Cimrman, Robert | |
| dc.date.accessioned | 2021-09-06T10:00:28Z | - |
| dc.date.available | 2021-09-06T10:00:28Z | - |
| dc.date.issued | 2021 | |
| dc.identifier.citation | CIMRMAN, R. Fast evaluation of finite element weak forms using python tensor contraction packages. Advances in engineering software, 2021, roč. 159, č. 20. July 2021. ISSN 0965-9978. | cs |
| dc.identifier.issn | 0965-9978 | |
| dc.identifier.uri | 2-s2.0-85110434316 | |
| dc.identifier.uri | http://hdl.handle.net/11025/45055 | |
| dc.format | 26 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | en |
| dc.publisher | Elsevier | en |
| dc.relation.ispartofseries | Advances In Engineering Software | en |
| dc.rights | © Elsevier | en |
| dc.title | Fast evaluation of finite element weak forms using python tensor contraction packages | en |
| dc.type | článek | cs |
| dc.type | article | en |
| dc.rights.access | openAccess | en |
| dc.type.version | publishedVersion | en |
| dc.description.abstract-translated | In finite element calculations, the integral forms are usually evaluated using nested loops over elements, and over quadrature points. Many such forms (e.g. linear or multi-linear) can be expressed in a compact way, without the explicit loops, using a single tensor contraction expression by employing the Einstein summation convention. To automate this process and leverage existing high performance codes, we first introduce a notation allowing trivial differentiation of multi-linear finite element forms. Based on that we propose and describe a new transpiler from Einstein summation based expressions, augmented to allow defining multi-linear finite element weak forms, to regular tensor contraction expressions. The resulting expressions are compatible with a number of Python scientific computing packages, that implement, optimize and in some cases parallelize the general tensor contractions. We assess the performance of those packages, as well as the influence of operand memory layouts and tensor contraction paths optimizations on the elapsed time and memory requirements of the finite element form evaluations. We also compare the efficiency of the transpiled weak form implementations to the C-based functions available in the finite element package SfePy. | en |
| dc.subject.translated | Finite element method | en |
| dc.subject.translated | Tensor contractions | en |
| dc.subject.translated | Weak form transpiler | en |
| dc.subject.translated | Numerical performance study | en |
| dc.identifier.doi | 10.1016/j.advengsoft.2021.103033 | |
| dc.type.status | Peer-reviewed | en |
| dc.identifier.document-number | 676736200005 | |
| dc.identifier.obd | 43933198 | |
| dc.project.ID | EF17_048/0007280/Aplikace moderních technologií v medicíně a průmyslu | cs |
| Vyskytuje se v kolekcích: | Články / Articles OBD | |
Soubory připojené k záznamu:
| Soubor | Velikost | Formát | |
|---|---|---|---|
| Cimrman_Fast evaluation of finite element weak.pdf | 10,99 MB | Adobe PDF | Zobrazit/otevřít |
Použijte tento identifikátor k citaci nebo jako odkaz na tento záznam:
http://hdl.handle.net/11025/45055Všechny záznamy v DSpace jsou chráněny autorskými právy, všechna práva vyhrazena.