Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the domain mapping method with rough diffusion coefficients   In this article, we consider elliptic diffusion problems on random domains
with non-smooth diffusion coefficients. We start by illustrating the problems
that arise from a non-smooth diffusion coefficient by recapitulating the
corresponding regularity analysis. Then, we propose an alternative approach to
address this problem by means of a perturbation method. Based on the assumption
that the diffusion coefficient can be decomposed in a possibly deterministic,
analytic part and a rough random perturbation, we derive approximation results
in terms of the perturbations amplitude for the approximation of quantities of
interest of the solution. Numerical examples are given in order to validate and
quantify the theoretical results.

26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
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
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat