A Primal-to-Primal Discretization of Exterior Calculus on Polygonal Meshes

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dc.contributor.author Ptackova, Lenka en_US
dc.contributor.author Velho, Luiz en_US
dc.contributor.editor Jakob Andreas Bærentzen and Klaus Hildebrandt en_US
dc.date.accessioned 2017-07-02T17:44:41Z
dc.date.available 2017-07-02T17:44:41Z
dc.date.issued 2017
dc.identifier.isbn 978-3-03868-047-5
dc.identifier.issn 1727-8384
dc.identifier.uri http://dx.doi.org/10.2312/sgp.20171204
dc.identifier.uri https://diglib.eg.org:443/handle/10.2312/sgp20171204
dc.description.abstract Discrete exterior calculus (DEC) offers a coordinate-free discretization of exterior calculus especially suited for computations on curved spaces. We present an extended version of DEC on surface meshes formed by general polygons that bypasses the construction of any dual mesh and the need for combinatorial subdivisions. At its core, our approach introduces a polygonal wedge product that is compatible with the discrete exterior derivative in the sense that it obeys the Leibniz rule. Based on this wedge product, we derive a novel primal-primal Hodge star operator, which then leads to a discrete version of the contraction operator. We show preliminary results indicating the numerical convergence of our discretization to each one of these operators. en_US
dc.publisher The Eurographics Association en_US
dc.subject Computing methodologies
dc.subject > Mesh geometry models
dc.title A Primal-to-Primal Discretization of Exterior Calculus on Polygonal Meshes en_US
dc.description.seriesinformation Symposium on Geometry Processing 2017- Posters
dc.description.sectionheaders Posters
dc.identifier.doi 10.2312/sgp.20171204
dc.identifier.pages 7-8

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