A Graphical Framework to Study the Correlation between Geometric Design and Simulation
Partial differential equations can be solved on general polygonal and polyhedral meshes, through Polytopal Element Methods (PEMs). Unfortunately, the relation between geometry and analysis is still unknown and subject to ongoing research in order to identify weaker shape-regularity criteria under wh...
Uloženo v:
| Vydáno v: | arXiv.org |
|---|---|
| Hlavní autoři: | , , |
| Médium: | Paper |
| Jazyk: | angličtina |
| Vydáno: |
Ithaca
Cornell University Library, arXiv.org
22.11.2022
|
| Témata: | |
| ISSN: | 2331-8422 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | Partial differential equations can be solved on general polygonal and polyhedral meshes, through Polytopal Element Methods (PEMs). Unfortunately, the relation between geometry and analysis is still unknown and subject to ongoing research in order to identify weaker shape-regularity criteria under which PEMs can reliably work. We propose PEMesh, a graphical framework to support the analysis of the relation between the geometric properties of polygonal meshes and the numerical performances of PEM solvers. PEMesh allows the design of polygonal meshes that increasingly stress some geometric properties, by exploiting any external PEM solver, and supports the study of the correlation between the performances of such a solver and geometric properties of the input mesh. Furthermore, it is highly modular, customisable, easy to use, and provides the possibility to export analysis results both as numerical values and graphical plots. PEMesh has a potential practical impact on ongoing and future research activities related to PEM methods, polygonal mesh generation and processing. |
|---|---|
| AbstractList | Partial differential equations can be solved on general polygonal and polyhedral meshes, through Polytopal Element Methods (PEMs). Unfortunately, the relation between geometry and analysis is still unknown and subject to ongoing research in order to identify weaker shape-regularity criteria under which PEMs can reliably work. We propose PEMesh, a graphical framework to support the analysis of the relation between the geometric properties of polygonal meshes and the numerical performances of PEM solvers. PEMesh allows the design of polygonal meshes that increasingly stress some geometric properties, by exploiting any external PEM solver, and supports the study of the correlation between the performances of such a solver and geometric properties of the input mesh. Furthermore, it is highly modular, customisable, easy to use, and provides the possibility to export analysis results both as numerical values and graphical plots. PEMesh has a potential practical impact on ongoing and future research activities related to PEM methods, polygonal mesh generation and processing. |
| Author | Cabiddu, Daniela Spagnuolo, Michela Patanè, Giuseppe |
| Author_xml | – sequence: 1 givenname: Daniela surname: Cabiddu fullname: Cabiddu, Daniela – sequence: 2 givenname: Giuseppe surname: Patanè fullname: Patanè, Giuseppe – sequence: 3 givenname: Michela surname: Spagnuolo fullname: Spagnuolo, Michela |
| BookMark | eNotjc1OAjEURhujiYg8gLsmrgfb25_pLAkKmpC4gLgl7fSODEKLnY7I20uCm-9sTs53R65DDEjIA2djaZRiTzb9tj9j4AzGnKvSXJEBCMELIwFuyajrtowx0CUoJQbkY0LnyR42bW13dJbsHo8xfdEc6TL3_kTzBuk0poQ7m9sYqMN8RAx0jnGPObU1fcau_QzUBk-X7b6_ePfkprG7Dkf_HJLV7GU1fS0W7_O36WRRWAVQWO0FswYrpdE1UnqDrnSV17WpeVNCI7UQWAvFSm6lYtobrZSv3Hmcs0oMyeMle0jxu8cur7exT-H8uAZZgQFWKRB_J05Uqg |
| ContentType | Paper |
| Copyright | 2022. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| Copyright_xml | – notice: 2022. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
| DBID | 8FE 8FG ABJCF ABUWG AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO HCIFZ L6V M7S PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS |
| DOI | 10.48550/arxiv.2102.11578 |
| DatabaseName | ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland ProQuest Central Essentials ProQuest Central Technology collection ProQuest One Community College ProQuest Central SciTech Premium Collection ProQuest Engineering Collection Engineering Database ProQuest Central Premium ProQuest One Academic Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central China Engineering collection |
| DatabaseTitle | Publicly Available Content Database Engineering Database Technology Collection ProQuest One Academic Middle East (New) ProQuest Central Essentials ProQuest One Academic Eastern Edition ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest One Academic UKI Edition ProQuest Central Korea Materials Science & Engineering Collection ProQuest Central (New) ProQuest One Academic ProQuest One Academic (New) Engineering Collection |
| DatabaseTitleList | Publicly Available Content Database |
| Database_xml | – sequence: 1 dbid: PIMPY name: ProQuest Publicly Available Content url: http://search.proquest.com/publiccontent sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| EISSN | 2331-8422 |
| Genre | Working Paper/Pre-Print |
| GroupedDBID | 8FE 8FG ABJCF ABUWG AFKRA ALMA_UNASSIGNED_HOLDINGS AZQEC BENPR BGLVJ CCPQU DWQXO FRJ HCIFZ L6V M7S M~E PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS |
| ID | FETCH-LOGICAL-a522-a6d30a8e956ebf44d8eb7b9d6c8c1f72f4633ec35071a4506d8655d9b55dbba53 |
| IEDL.DBID | BENPR |
| IngestDate | Mon Jun 30 09:29:01 EDT 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | false |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-a522-a6d30a8e956ebf44d8eb7b9d6c8c1f72f4633ec35071a4506d8655d9b55dbba53 |
| Notes | SourceType-Working Papers-1 ObjectType-Working Paper/Pre-Print-1 content type line 50 |
| OpenAccessLink | https://www.proquest.com/docview/2492820952?pq-origsite=%requestingapplication% |
| PQID | 2492820952 |
| PQPubID | 2050157 |
| ParticipantIDs | proquest_journals_2492820952 |
| PublicationCentury | 2000 |
| PublicationDate | 20221122 |
| PublicationDateYYYYMMDD | 2022-11-22 |
| PublicationDate_xml | – month: 11 year: 2022 text: 20221122 day: 22 |
| PublicationDecade | 2020 |
| PublicationPlace | Ithaca |
| PublicationPlace_xml | – name: Ithaca |
| PublicationTitle | arXiv.org |
| PublicationYear | 2022 |
| Publisher | Cornell University Library, arXiv.org |
| Publisher_xml | – name: Cornell University Library, arXiv.org |
| SSID | ssj0002672553 |
| Score | 1.8136327 |
| SecondaryResourceType | preprint |
| Snippet | Partial differential equations can be solved on general polygonal and polyhedral meshes, through Polytopal Element Methods (PEMs). Unfortunately, the relation... |
| SourceID | proquest |
| SourceType | Aggregation Database |
| SubjectTerms | Correlation analysis Differential geometry Mesh generation Partial differential equations Polygons Properties (attributes) Solvers |
| Title | A Graphical Framework to Study the Correlation between Geometric Design and Simulation |
| URI | https://www.proquest.com/docview/2492820952 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LTwIxEG4UNPHkOz6Q9OB1gX11uyejCGiiZCOE4IlMH5twgMVdJPrv7SxFDyZePDZ7aTrbma_Tr99HyLWGlAOLwTG1B5yAM9_huK8i7fMwVioUpQ_Z6Cnq9_l4HCe24VZYWuUmJ5aJWmUSe-RNVLYz1SoOvZvFm4OuUXi7ai00tkkVlcqCCqnedfrJy3eXxWORwcz--jqzFO9qQv4xXTXwpNNAoRn-KwmXlaW7_985HZBqAgudH5ItPT8iuyWjUxbHZHRLeyhGjUGg3Q0Fiy4zitTBT2qAH22jNceaDEctYYv2dDZDly1J70tyB4W5ooPpzNp8nZBhtzNsPzjWRMEBA60cYMpvAdfmGKRFGgSKaxGJWDHJpZtGXhow39fSR1gIQdhiCl-qqtiESAkBoX9KKvNsrs8IZVoaeBG6SoAIlHZ5GhkwkQrwGPAUvHNS26zSxG6EYvKzRBd_f74kex6-LHBd89vUSGWZv-srsiNXy2mR121c60jNHJhR8vicvH4BYQ-xgQ |
| linkProvider | ProQuest |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V27TsMwFLWqFgQTb_Eo4AHGtI2TOM6AECr0oT5UiaoqU2XHjtShSUlKoR_FP-KbJjAgsXVgzhL7vs61j-9B6EbxgHHqcUPXHm7YjFoGg7hylcUcT0pHpDpko67b77Px2BsU0Gf-FgZolXlOTBO1jHw4I6_CZDtdrTyH3M9fDVCNgtvVXEJj7RYdtXrXLVty137U9r0lpPE0rLeMTFXA4BprGJxKq8aZ0n2BEoFtS6aEKzxJfeabgUsCm1qW8i3ASdx2alTC003p6X-WQnAQidAZv2RrX2dFVBq0e4OX70MdQl0N0a317Wk6K6zK44_psgKNVQXm2rBfOT8tZI29f7YF-3rpfK7iA1RQ4SHaTvmqfnKERg-4CaO2wcVwIyeY4UWEgRi5whrW4joIj6ypfjijo-GmimagIebjx5S6gnko8fN0lomYHaPhJlZygophFKpThKnyNXhyTCm4sKUyWeBqqBQITihnASdnqJwbZZKFeTL5scj535-v0U5r2OtOuu1-5wLtEnhDYZo6QMqouIjf1CXa8peLaRJfZS6F0WTDFvwC0NoLkQ |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+Graphical+Framework+to+Study+the+Correlation+between+Geometric+Design+and+Simulation&rft.jtitle=arXiv.org&rft.au=Cabiddu%2C+Daniela&rft.au=Patan%C3%A8%2C+Giuseppe&rft.au=Spagnuolo%2C+Michela&rft.date=2022-11-22&rft.pub=Cornell+University+Library%2C+arXiv.org&rft.eissn=2331-8422&rft_id=info:doi/10.48550%2Farxiv.2102.11578 |