Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering problems from slightly perturbed periodic surfaces: Part II.
  High order numerical method   In this paper, we develop a high order numerical method for the numerical
solutions of scattering problems with slightly perturbed periodic surfaces in
two dimensional spaces. Based on the regularity property introduced in Part I,
the decaying rate of the incident field could be transferred directly to the
total field for small perturbations. Thus the finite section method could reach
a high accuracy rate. With the help of a modification of the truncated problem,
the problem is solved by a finite element method. The convergence of the finite
element method is proved and numerical examples have been carried out to show
the efficiency of the numerical scheme.

21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom