Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A spacetime DPG method for the wave equation in multiple dimensions   A spacetime discontinuous Petrov-Galerkin (DPG) method for the linear wave
equation is presented. This method is based on a weak formulation that uses a
broken graph space. The wellposedness of this formulation is established using
a previously presented abstract framework. One of the main tasks in the
verification of the conditions of this framework is proving a density result.
This is done in detail for a simple domain in arbitrary dimensions. The DPG
method based on the weak formulation is then studied theoretically and
numerically. Error estimates and numerical results are presented for
triangular, rectangular, tetrahedral, and hexahedral meshes of the spacetime
domain. The potential for using the built-in error estimator of the DPG method
for an adaptivity mesh refinement strategy in two and three dimensions is also
presented.

20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics