Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing electrostatic potentials using regularization based on the
  range-separated tensor format   In this paper, we apply the range-separated (RS) tensor format [6] for the
construction of new regularization scheme for the Poisson-Boltzmann equation
(PBE) describing the electrostatic potential in biomolecules. In our approach,
we use the RS tensor representation to the discretized Dirac delta [21] to
construct an efficient RS splitting of the PBE solution in the solute
(molecular) region. The PBE then needs to be solved with a regularized source
term, and thus black-box solvers can be applied. The main computational
benefits are due to the localization of the modified right-hand side within the
molecular region and automatic maintaining of the continuity in the Cauchy data
on the interface. Moreover, this computational scheme only includes solving a
single system of FDM/FEM equations for the smooth long-range (i.e.,
regularized) part of the collective potential represented by a low-rank
RS-tensor with a controllable precision. The total potential is obtained by
adding this solution to the directly precomputed rank-structured tensor
representation for the short-range contribution. Enabling finer grids in PBE
computations is another advantage of the proposed techniques. In the numerical
experiments, we consider only the free space electrostatic potential for proof
of concept. We illustrate that the classical Poisson equation (PE) model does
not accurately capture the solution singularities in the numerical
approximation as compared to the new approach by the RS tensor format.

27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
1
The categories of this paper are: cs
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex