Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of the finite element method for the Laplace--Beltrami equation
  on surfaces with regions of high curvature using graded meshes   We derive error estimates for the piecewise linear finite element
approximation of the Laplace--Beltrami operator on a bounded, orientable,
$C^3$, surface without boundary on general shape regular meshes. As an
application, we consider a problem where the domain is split into two regions:
one which has relatively high curvature and one that has low curvature. Using a
graded mesh we prove error estimates that do not depend on the curvature on the
high curvature region. Numerical experiments are provided.

18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th