Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computation of Miura surfaces for general Dirichlet boundary conditions   A nonlinear partial differential equation (PDE) that models the possible
shapes that a periodic Miura tessellation can take in the homogenization limit
has been established recently and solved only in specific cases. In this paper,
the existence and uniqueness of a solution to the PDE is proved for general
Dirichlet boundary conditions. Then a H^2-conforming discretization is
introduced to approximate the solution of the PDE and a fixed point algorithm
is proposed to solve the associated discrete problem. A convergence proof for
the method is given as well as a convergence rate. Finally, numerical
experiments show the robustness of the method and that non trivial shapes can
be achieved using periodic Miura tessellations.

34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th