Nodal Bases for the Serendipity Family of Finite Elements
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DOI: 10.1007/s10208-016-9305-0
Abstract: Using the notion of multivariate lower set interpolation, we construct nodal basis functions for the serendipity family of finite elements, of any order and any dimension. For the purpose of computation, we also show how… read more here.
Keywords: bases serendipity; nodal bases; serendipity family; finite elements ... See more keywords
On Spectral Asymptotics for a Family of Finite-Dimensional Perturbations of Operators of Trace Class
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DOI: 10.1134/s1064562418050204
Abstract: Spectral asymptotics for a family of finite-dimensional perturbations of operators of trace class are found. The results are used to find exact asymptotics of small ball probabilities in the Hilbert norm for finitedimensional perturbations of… read more here.
Keywords: finite dimensional; spectral asymptotics; dimensional perturbations; asymptotics family ... See more keywords
An infinite family of finite 3-groups with deficiency zero
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DOI: 10.1142/s0219498819501214
Abstract: In this paper, for any integer [Formula: see text] we introduce a non-metacyclic finite group of order [Formula: see text] and nilpotency class [Formula: see text] with zero deficiency. read more here.
Keywords: finite; deficiency; infinite family; family finite ... See more keywords