Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An object oriented parallel finite element scheme for computations of
  PDEs: Design and implementation   Parallel finite element algorithms based on object-oriented concepts are
presented. Moreover, the design and implementation of a data structure proposed
are utilized in realizing a parallel geometric multigrid method. The
ParFEMapper and the ParFECommunicator are the key components of the data
structure in the proposed parallel scheme. These classes are constructed based
on the type of finite elements (continuous or nonconforming or discontinuous)
used. The proposed solver is compared with the open source direct solvers,
MUMPS and PasTiX. Further, the performance of the parallel multigrid solver is
analyzed up to 1080 processors. The solver shows a very good speedup up to 960
processors and the problem size has to be increased in order to maintain the
good speedup when the number of processors are increased further. As a result,
the parallel solver is able to handle large scale problems on massively
parallel supercomputers. The proposed parallel finite element algorithms and
multigrid solver are implemented in our in-house package ParMooN.

37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an