Spectral Element Methods on Unstructured Meshes: Comparisons and Recent Advances
نویسندگان
چکیده
منابع مشابه
Spectral Element Methods on Unstructured Meshes: Comparisons and Recent Advances
The celebrated Spectral Element Method (SEM) has appeared to be of great interest to extend the capabilities of spectral methods to complex geometries. However, using quadrangular (hexahedral in 3D) elements may be a severe restriction for the most complex geometries, because requiring a structured mesh. Thus, Finite element meshes are usually based on triangles (tetrahedra in 3D). Efforts have...
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In this paper, we compare a triangle based spectral element method (SEM) with the classical quadrangle based SEM and with a standard spectral method. For the sake of completeness, the triangle-SEM, making use of the Fekete points of the triangle, is first revisited. The requirement of a highly accurate quadrature rule is particularly emphasized. Then it is shown that the convergence properties ...
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ژورنال
عنوان ژورنال: Journal of Scientific Computing
سال: 2006
ISSN: 0885-7474,1573-7691
DOI: 10.1007/s10915-005-9048-6