Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Frontiers in Mortar Methods for Isogeometric Analysis   Complex geometries as common in industrial applications consist of multiple
patches, if spline based parametrizations are used. The requirements for the
generation of analysis-suitable models are increasing dramatically since
isogeometric analysis is directly based on the spline parametrization and
nowadays used for the calculation of higher-order partial differential
equations. The computational, or more general, the engineering analysis
necessitates suitable coupling techniques between the different patches. Mortar
methods have been successfully applied for coupling of patches and for contact
mechanics in recent years to resolve the arising issues within the interface.
We present here current achievements in the design of mortar technologies in
isogeometric analysis within the Priority Program SPP 1748, Reliable Simulation
Techniques in Solid Mechanics. Development of Non-standard Discretisation
Methods, Mechanical and Mathematical Analysis.

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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph