Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mass Matrix Integration Scheme for Fifteen-node Wedge Element   At present, mass matrix of solid fifteen node wedge element is computed by
means of eighteen-point (Gauss points) numerical integration scheme. Herein,
this widely accepted scheme is being challenged. We derive a novel,
easy-to-implement, ten-point integration rule. To this end, the metric
(Jacobian determinant) is approximated using special second order
interpolation, requiring ten evaluation points. This polynomial approximation
permits further analytical integration, which is accompanied by convenient
coefficient matrix definition. Coefficient matrices (equivalent to weights),
allow the new rule to be formulated in a well-known manner. Preliminary
numerical study considering both fine and a coarse mesh is conducted. In fact,
significant accuracy superiority over eighteen-point scheme is established for
all the coarseness range. In conclusion, our ten-point mass matrix scheme
over-performs the standard 18-point integration rule in both the accuracy and
in computational effort.

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The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: stat