Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recovery of a Smooth Metric via Wave Field and Coordinate Transformation
  Reconstruction   In this paper, we study the inverse boundary value problem for the wave
equation with a view towards an explicit reconstruction procedure. We consider
both the anisotropic problem where the unknown is a general Riemannian metric
smoothly varying in a domain, and the isotropic problem where the metric is
conformal to the Euclidean metric. Our objective in both cases is to construct
the metric, using either the Neumann-to-Dirichlet (N-to-D) map or
Dirichlet-to-Neumann (D-to-N) map as the data. In the anisotropic case we
construct the metric in the boundary normal (or semi-geodesic) coordinates via
reconstruction of the wave field in the interior of the domain. In the
isotropic case we can go further and construct the wave speed in the Euclidean
coordinates via reconstruction of the coordinate transformation from the
boundary normal coordinates to the Euclidean coordinates. Both cases utilize a
variant of the Boundary Control method, and work by probing the interior using
special boundary sources. We provide a computational experiment to demonstrate
our procedure in the isotropic case with N-to-D data.

14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th