  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.
