Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximum principle for the finite element solution of time dependent
  anisotropic diffusion problems   Preservation of the maximum principle is studied for the combination of the
linear finite element method in space and the $\theta$-method in time for
solving time dependent anisotropic diffusion problems. It is shown that the
numerical solution satisfies a discrete maximum principle when all element
angles of the mesh measured in the metric specified by the inverse of the
diffusion matrix are non-obtuse and the time step size is bounded below and
above by bounds proportional essentially to the square of the maximal element
diameter. The lower bound requirement can be removed when a lumped mass matrix
is used. In two dimensions, the mesh and time step conditions can be replaced
by weaker Delaunay-type conditions. Numerical results are presented to verify
the theoretical findings.

25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs