Geometrical validity of curvilinear finite elements
نویسندگان
چکیده
منابع مشابه
Geometrical Validity of Curvilinear Finite Elements
In this paper, we describe a way to compute accurate bounds on Jacobian determinants of curvilinear polynomial finite elements. Our condition enables to guarantee that an element is geometrically valid, i.e., that its Jacobian determinant is strictly positive everywhere in its reference domain. It also provides an efficient way to measure the distortion of curvilinear elements. The key feature ...
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The development of high-order computational methods for solving partial differential equations on unstructured grids has been underway for many years. Such methods critically depend on the availability of high-quality curvilinear meshes, as one badly-shaped element can degrade the solution in the whole domain [2]. The usual way of generating curved meshes is to first generate a straight sided m...
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2013
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2012.08.051