Nonobtuse tetrahedral partitions and linear finite elements guarantee the validity of a discrete analogue of the maximum principle for a wide class of parabolic and elliptic problems in the three-dimensional space. In this paper we propose global and local refinement techniques which produce nonobtuse face-to-face tetrahedral partitions of a polyhedral domain.
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UPHF, UMR 8201, LAMIH, CNRS, Campus Mont Houy, F-59313 Valenciennes, France
INSA Hauts De France, Campus Mont Houy, F-59313 Valenciennes, FranceUPHF, UMR 8201, LAMIH, CNRS, Campus Mont Houy, F-59313 Valenciennes, France
Hubert, Cedric
El Attaoui, Yassine
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UPHF, UMR 8201, LAMIH, CNRS, Campus Mont Houy, F-59313 Valenciennes, FranceUPHF, UMR 8201, LAMIH, CNRS, Campus Mont Houy, F-59313 Valenciennes, France
El Attaoui, Yassine
Leconte, Nicolas
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UPHF, UMR 8201, LAMIH, CNRS, Campus Mont Houy, F-59313 Valenciennes, France
Off Natl Etud & Rech Aerosp, DMAS, F-59000 Lille, FranceUPHF, UMR 8201, LAMIH, CNRS, Campus Mont Houy, F-59313 Valenciennes, France
Leconte, Nicolas
Massa, Franck
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UPHF, UMR 8201, LAMIH, CNRS, Campus Mont Houy, F-59313 Valenciennes, FranceUPHF, UMR 8201, LAMIH, CNRS, Campus Mont Houy, F-59313 Valenciennes, France
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Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China
Li, Buyang
Qiu, Weifeng
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City Univ Hong Kong, Dept Math, Hung Hom, Hong Kong, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China
Qiu, Weifeng
Xie, Yupei
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Hong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China
Xie, Yupei
Yu, Wenshan
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United Int Coll BNU HKBU, Div Sci & Technol, Zhuhai 519087, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Hung Hom, Hong Kong, Peoples R China