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Math. Softw."],"published-print":{"date-parts":[[2024,3,31]]},"abstract":"<jats:p>\n            An interface-preserving moving mesh algorithm in two or higher dimensions is presented. It resolves a moving (\n            <jats:italic>d<\/jats:italic>\n            -1)-dimensional manifold directly within the\n            <jats:italic>d<\/jats:italic>\n            -dimensional mesh, which means that the interface is represented by a subset of moving mesh cell-surfaces. The underlying mesh is a conforming simplicial partition that fulfills the Delaunay property. The local remeshing algorithms allow for strong interface deformations. We give a proof that the given algorithms preserve the interface after interface deformation and remeshing steps. Originating from various numerical methods, data is attached cell-wise to the mesh. After each remeshing operation, the interface-preserving moving mesh retains valid data by projecting the data to the new mesh cells.\n          <\/jats:p>\n          <jats:p>\n            An open source implementation of the moving mesh algorithm is available at Reference [\n            <jats:xref ref-type=\"bibr\">1<\/jats:xref>\n            ].\n          <\/jats:p>","DOI":"10.1145\/3630000","type":"journal-article","created":{"date-parts":[[2023,10,26]],"date-time":"2023-10-26T21:46:02Z","timestamp":1698356762000},"page":"1-28","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":2,"title":["An Interface-Preserving Moving Mesh in Multiple Space Dimensions"],"prefix":"10.1145","volume":"50","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1332-937X","authenticated-orcid":false,"given":"Maria","family":"Alk\u00e4mper","sequence":"first","affiliation":[{"name":"University of Stuttgart, Institute of Applied Analysis and Numerical Simulation, Stuttgart, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9807-0784","authenticated-orcid":false,"given":"Jim","family":"Magiera","sequence":"additional","affiliation":[{"name":"University of Stuttgart, Institute of Applied Analysis and Numerical Simulation, Stuttgart, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9183-5094","authenticated-orcid":false,"given":"Christian","family":"Rohde","sequence":"additional","affiliation":[{"name":"University of Stuttgart, Institute of Applied Analysis and Numerical Simulation, Stuttgart, Germany"}]}],"member":"320","published-online":{"date-parts":[[2024,3,16]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.18419\/darus-1671"},{"key":"e_1_3_2_3_2","volume-title":"CGAL User and Reference Manual (5.0.1 ed.)","author":"Alliez Pierre","year":"2020","unstructured":"Pierre Alliez, Cl\u00e9ment Jamin, Laurent Rineau, St\u00e9phane Tayeb, Jane Tournois, and Mariette Yvinec. 2020. 3D mesh generation. 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