Automated shape differentiation in the Unified Form Language
We discuss automating the evaluation of weak shape derivatives in the Unified Form Language by introducing an appropriate additional step in the pullback from physical to reference space that computes G\^{a}teaux derivatives with respect to the coordinate field. We illustrate the ease of use with se...
| Main Authors: | , , , |
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| Format: | Journal article |
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Springer
2019
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| _version_ | 1797056325313626112 |
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| author | Ham, D Mitchell, L Paganini, A Wechsung, F |
| author_facet | Ham, D Mitchell, L Paganini, A Wechsung, F |
| author_sort | Ham, D |
| collection | OXFORD |
| description | We discuss automating the evaluation of weak shape derivatives in the Unified Form Language by introducing an appropriate additional step in the pullback from physical to reference space that computes G\^{a}teaux derivatives with respect to the coordinate field. We illustrate the ease of use with several examples. |
| first_indexed | 2024-03-06T19:21:47Z |
| format | Journal article |
| id | oxford-uuid:1a591544-ee5c-4eab-9859-2ab6ed7b9dea |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:21:47Z |
| publishDate | 2019 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:1a591544-ee5c-4eab-9859-2ab6ed7b9dea2022-03-26T10:54:15ZAutomated shape differentiation in the Unified Form LanguageJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1a591544-ee5c-4eab-9859-2ab6ed7b9deaSymplectic Elements at OxfordSpringer2019Ham, DMitchell, LPaganini, AWechsung, FWe discuss automating the evaluation of weak shape derivatives in the Unified Form Language by introducing an appropriate additional step in the pullback from physical to reference space that computes G\^{a}teaux derivatives with respect to the coordinate field. We illustrate the ease of use with several examples. |
| spellingShingle | Ham, D Mitchell, L Paganini, A Wechsung, F Automated shape differentiation in the Unified Form Language |
| title | Automated shape differentiation in the Unified Form Language |
| title_full | Automated shape differentiation in the Unified Form Language |
| title_fullStr | Automated shape differentiation in the Unified Form Language |
| title_full_unstemmed | Automated shape differentiation in the Unified Form Language |
| title_short | Automated shape differentiation in the Unified Form Language |
| title_sort | automated shape differentiation in the unified form language |
| work_keys_str_mv | AT hamd automatedshapedifferentiationintheunifiedformlanguage AT mitchelll automatedshapedifferentiationintheunifiedformlanguage AT paganinia automatedshapedifferentiationintheunifiedformlanguage AT wechsungf automatedshapedifferentiationintheunifiedformlanguage |