Quality Measures for Curvilinear Finite Elements
نویسندگان
چکیده
We present a method for computing robust shape quality measures defined finite elements of any order and type, including curved pyramids. The are heuristically as the minimum pointwise elements. Three qualities considered: ICN that is related to conditioning stiffness matrix straight-sided simplicial elements, scaled Jacobian quadrangles hexahedra, new triangles tetrahedra. Based on previous work presented by Johnen et al. (Journal Computational Physics 233:359–372, 2013, [1]); Geuzaine 299:124–129, 2015, [2]), computation efficient. key feature expand polynomial quantities into Bézier bases which allows compute sharp bounds measures.
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ژورنال
عنوان ژورنال: Notes on numerical fluid mechanics and multidisciplinary design
سال: 2021
ISSN: ['1612-2909', '1860-0824']
DOI: https://doi.org/10.1007/978-3-030-62048-6_6