A Graphical Framework to Study the Correlation between Geometric Design and Simulation

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dc.contributor.authorCabiddu, Danielaen_US
dc.contributor.authorPatané, Giuseppeen_US
dc.contributor.authorSpagnuolo, Michelaen_US
dc.contributor.editorCabiddu, Danielaen_US
dc.contributor.editorSchneider, Teseoen_US
dc.contributor.editorAllegra, Darioen_US
dc.contributor.editorCatalano, Chiara Evaen_US
dc.contributor.editorCherchi, Gianmarcoen_US
dc.contributor.editorScateni, Riccardoen_US
dc.date.accessioned2022-11-08T11:44:41Z
dc.date.available2022-11-08T11:44:41Z
dc.date.issued2022
dc.description.abstractPartial 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 to identify weaker shape-regularity criteria under which PEMs can reliably work. We propose a graphical framework to support the analysis of the relation between the geometric properties of polygonal meshes and the numerical performances of PEM solvers. Our framework, namely 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 the 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. The framework has a potential practical impact on ongoing and future research activities related to PEM methods, polygonal mesh generation and processing.en_US
dc.description.sectionheadersSoftware and Datasets
dc.description.seriesinformationSmart Tools and Applications in Graphics - Eurographics Italian Chapter Conference
dc.identifier.doi10.2312/stag.20221251
dc.identifier.isbn978-3-03868-191-5
dc.identifier.issn2617-4855
dc.identifier.pages11-19
dc.identifier.pages9 pages
dc.identifier.urihttps://doi.org/10.2312/stag.20221251
dc.identifier.urihttps://diglib.eg.org:443/handle/10.2312/stag20221251
dc.publisherThe Eurographics Associationen_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectCCS Concepts: Software and its engineering -> Open source model; Computing methodologies -> Mesh geometry models; Mathematics of computing -> Partial differential equations
dc.subjectSoftware and its engineering
dc.subjectOpen source model
dc.subjectComputing methodologies
dc.subjectMesh geometry models
dc.subjectMathematics of computing
dc.subjectPartial differential equations
dc.titleA Graphical Framework to Study the Correlation between Geometric Design and Simulationen_US
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Italian Chapter Conference 2022 - Smart Tools and Apps in Graphics