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This paper proposes a robust and effective approach to overcome a major difficulty associated to surface finite element mesh generation: the handling surfaces with irregular (singular) parametrizations such as spheres, cones or other surfaces of revolution produced by common Computer Aided Design tools. The main idea is to represent triangles incident to irregular points as trapezoids with one degenerated edge. This new approach has been implemented in Gmsh and examples containing thousands of surfaces with irregular points are presented at the end of the paper.
", "languages": [ { "id": "eng", "title": { "en": "English" } } ], "publication_date": "2020-02-06", "publisher": "Zenodo", "resource_type": { "id": "publication-conferencepaper", "title": { "de": "Konferenzbeitrag", "en": "Conference paper" } }, "rights": [ { "description": { "en": "The Creative Commons Attribution license allows re-distribution and re-use of a licensed work on the condition that the creator is appropriately credited." }, "icon": "cc-by-icon", "id": "cc-by-4.0", "props": { "scheme": "spdx", "url": "https://creativecommons.org/licenses/by/4.0/legalcode" }, "title": { "en": "Creative Commons Attribution 4.0 International" } } ], "subjects": [ { "subject": "CAD" }, { "subject": "Mesh generation" }, { "subject": "Gmsh" } ], "title": "GMSHs Approach to Robust Mesh Generation of Surfaces with Irregular Parametrizations" }, "parent": { "access": { "owned_by": { "user": 76941 } }, "communities": { "default": "b36b2856-dd2a-4ae5-9c83-bb40d647ab81", "entries": [ { "access": { "member_policy": "open", "members_visibility": "public", "record_policy": "open", "review_policy": "open", "visibility": "public" }, "children": { "allow": false }, "created": "2019-10-21T15:04:59.288176+00:00", "custom_fields": {}, "deletion_status": { "is_deleted": false, "status": "P" }, "id": "b36b2856-dd2a-4ae5-9c83-bb40d647ab81", "links": {}, "metadata": { "curation_policy": "Only submissions which were reviewed and accepted for the 28th International Meshing Roundtable, and where authors have signed and returned the license and copyright agreement to the program committee, will be posted on this page.
\r\n", "page": "This page hosts the Proceedings of the 28th International Meshing Roundtable ISBN 978-1-7334890-0-3. It includes a collection of original academic articles that have been peer reviewed by experts in the fields of meshing and computational geometry. Each work was presented as part of the program agenda for the 28th International Meshing Roundtable in Buffalo, NY, USA.
\r\n\r\nIn 1992, Sandia National Laboratories started the Meshing Roundtable as a small meeting of like-minded companies and organizations striving to establish a common focus for research and development in the field of mesh and grid generation. The International Meshing Roundtable has become recognized as an international focal point annually attended by researchers and developers from dozens of countries around the world.
\r\n\r\nThe International Meshing Roundtable continues to focus on bringing together researchers and developers from academia, national labs and industry in a stimulating, open environment to share technical information related to mesh generation and general pre-processing techniques. This Zenodo community page hosts the Proceedings of the 28th International Meshing Roundtable.
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