Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the prescription of boundary conditions for nonlocal Poisson's and
  peridynamics models   We introduce a technique to automatically convert local boundary conditions
into nonlocal volume constraints for nonlocal Poisson's and peridynamic models.
The proposed strategy is based on the approximation of nonlocal Dirichlet or
Neumann data with a local solution obtained by using available boundary, local
data. The corresponding nonlocal solution converges quadratically to the local
solution as the nonlocal horizon vanishes, making the proposed technique
asymptotically compatible. The proposed conversion method does not have any
geometry or dimensionality constraints and its computational cost is
negligible, compared to the numerical solution of the nonlocal equation. The
consistency of the method and its quadratic convergence with respect to the
horizon is illustrated by several two-dimensional numerical experiments
conducted by meshfree discretization for both the Poisson's problem and the
linear peridynamic solid model.

7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom