Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bend 3d Mixed Virtual Element Method for Elliptic Problems   In this study, we propose a virtual element scheme to solve the Darcy problem
in three physical dimensions. The main novelty, here proposed, is that curved
elements are naturally handled without any degradation of the solution
accuracy. In fact, in presence of curved boundaries, or internal interfaces,
the geometrical error introduced by planar approximations may dominate the
convergence rate limiting the benefit of high-order approximations. We consider
the Darcy problem in its mixed form to directly obtain, with our numerical
scheme, accurate and mass conservative fluxes without any post-processing. An
important step to derive this new scheme is the actual computation of
polynomials over curved polyhedrons, here presented and discussed. Finally, we
show the theoretical analysis of the scheme as well as several numerical
examples to support our findings

29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph