Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Hermite-like basis for faster matrix-free evaluation of interior
  penalty discontinuous Galerkin operators   This work proposes a basis for improved throughput of matrix-free evaluation
of discontinuous Galerkin symmetric interior penalty discretizations on
hexahedral elements. The basis relies on ideas of Hermite polynomials. It is
used in a fully discontinuous setting not for higher order continuity but to
minimize the effective stencil width, namely to limit the neighbor access of an
element to one data point for the function value and one for the derivative.
The basis is extended to higher orders with nodal contributions derived from
roots of Jacobi polynomials and extended to multiple dimensions with tensor
products, which enable the use of sum factorization. The beneficial effect of
the reduced data access on modern processors is shown. Furthermore, the
viability of the basis in the context of multigrid solvers is analyzed. While a
plain point-Jacobi approach is less efficient than with the best nodal
polynomials, a basis change via sum-factorization techniques enables the
combination of the fast matrix-vector products with effective multigrid
constituents. The basis change is essentially for free on modern hardware
because these computations can be hidden behind the cost of the data access.

16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an