Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solving the triharmonic equation over multi-patch domains using
  isogeometric analysis   We present a framework for solving the triharmonic equation over bilinearly
parameterized planar multi-patch domains by means of isogeometric analysis. Our
approach is based on the construction of a globally $C^2$-smooth isogeometric
spline space which is used as discretization space. The generated $C^2$-smooth
space consists of three different types of isogeometric functions called patch,
edge and vertex functions. All functions are entirely local with a small
support, and numerical examples indicate that they are well-conditioned. The
construction of the functions is simple and works uniformly for all multi-patch
configurations. While the patch and edge functions are given by a closed form
representation, the vertex functions are obtained by computing the null space
of a small system of linear equations. Several examples demonstrate the
potential of our approach for solving the triharmonic equation.

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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess