Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Volume-preserving parametric finite element methods for axisymmetric
  geometric evolution equations   We propose and analyze volume-preserving parametric finite element methods
for surface diffusion, conserved mean curvature flow and an intermediate
evolution law in an axisymmetric setting. The weak formulations are presented
in terms of the generating curves of the axisymmetric surfaces. The proposed
numerical methods are based on piecewise linear parametric finite elements. The
constructed fully practical schemes satisfy the conservation of the enclosed
volume. In addition, we prove the unconditional stability and consider the
distribution of vertices for the discretized schemes. The introduced methods
are implicit and the resulting nonlinear systems of equations can be solved
very efficiently and accurately via the Newton's iterative method. Numerical
results are presented to show the accuracy and efficiency of the introduced
schemes for computing the considered axisymmetric geometric flows.

22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ