Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simulating Viscous Fingering with a Timespace Method and Anisotropic
  Mesh Adaptation   We report findings related to a two dimensional viscous fingering problem
solved with a timespace method and anisotropic elements. Timespace methods have
attracted interest for solution of time dependent partial differential
equations due to the implications of parallelism in the temporal dimension, but
there are also attractive features in the context of anisotropic mesh
adaptation; not only are heuristics and interpolation errors avoided, but
slanted elements in timespace also correspond to long and accurate timesteps,
i.e. the anisotropy in timespace can be exploited. We show that our timespace
method is restricted by a minimum timestep size, which is due to the growth of
numerical perturbations. The lower bound on the timestep is, however, quite
high, which is indicative that the number of timesteps can be reduced with
several orders of magnitude for practical applications.

22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
16
The categories of this paper are: stat