Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Error constant estimation under the maximum norm for linear Lagrange
  interpolation   For the Lagrange interpolation over a triangular domain, we propose an
efficient algorithm to rigorously evaluate the interpolation error constant
under the maximum norm by using the finite element method (FEM). In solving the
optimization problem corresponding to the interpolation error constant, the
maximum norm in the constraint condition is the most difficult part to process.
To handle this difficulty, a novel method is proposed by combining the
orthogonality of the interpolation associated to the Fujino--Morley FEM space
and the convex-hull property of the Bernstein representation of functions in
the FEM space. Numerical results for the lower and upper bounds of the
interpolation error constant for triangles of various types are presented to
verify the efficiency of the proposed method.

32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th