Simplicial finite elements in higher dimensions
نویسندگان
چکیده
منابع مشابه
A family of differentiable finite elements on simplicial grids in four space dimensions
A family of differentiable piecewise polynomials of degree k, for all k ≥ 17, on general 4D simplicial grids, is constructed. Such a finite element space assumes full order of approximation. As a byproduct, we obtain a family of special 3D C2-Pk elements on tetrahedral grids. 1 引言 相对来说,构造可微,即C,有限元是非常困难的。几乎所有C有限元都是在1970年以前构 造的,参见[5]. 最著名的C有限元是Argyris P5-三角元[2]. 这个有限元被推广到完全C -P5空间, 称之为Morgan-Scot...
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A family of continuously differentiable piecewise polynomials of degree k, for all k ≥ 17, on general 4D simplicial grids, is constructed. Such a finite element space assumes full order of approximation. As a byproduct, we obtain a family of special 3D C2-Pk elements on tetrahedral grids.
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We present a construction of high order finite elements for H1, H(curl), H(div) (and L2) on a pyramid, which are compatible with existing tetrahedral and hexahedral high order finite elements and satisfy the commuting diagram property.
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ژورنال
عنوان ژورنال: Applications of Mathematics
سال: 2007
ISSN: 0862-7940,1572-9109
DOI: 10.1007/s10492-007-0013-6