Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: C1 Triangular Isogeometric Analysis of the von Karman Equations   In this paper, we report the use of rational Triangular Bezier Splines (rTBS)
to numerically solve the von Karman equations, a system of fourth order PDEs.
$C^{1}$ smoothness of the mesh, generated by triangular Bezier elements,
enables us to directly solve the von Karman systems of equations without using
mixed formulation. Numerical results of benchmark problems show high accuracy
and optimal convergence rate in L1, H1 and H2 norm for quadratic and cubic
triangular Bezier elements. Results of this study show that triangular
isogeometric analysis can efficiently and accurately solve systems of high
order PDEs.
  Keywords: Rational triangular Bezier splines; Isogeometric analysis; Von
Karman; Optimal convergence rate; High order PDEs; Smooth mesh; Triangular
elements.

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The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
3
The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con