Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical Treatment of a Geometrically Nonlinear Planar Cosserat Shell
  Model   We present a new way to discretize a geometrically nonlinear elastic planar
Cosserat shell. The kinematical model is similar to the general 6-parameter
resultant shell model with drilling rotations. The discretization uses geodesic
finite elements, which leads to an objective discrete model which naturally
allows arbitrarily large rotations. Finite elements of any approximation order
can be constructed. The resulting algebraic problem is a minimization problem
posed on a nonlinear finite-dimensional Riemannian manifold. We solve this
problem using a Riemannian trust-region method, which is a generalization of
Newton's method that converges globally without intermediate loading steps. We
present the continuous model and the discretization, discuss the properties of
the discrete model, and show several numerical examples, including wrinkles of
thin elastic sheets in shear.

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The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc