Numerical analysis of a class of penalty discontinuous Galerkin methods
for nonlocal diffusion problems
Numerical analysis of a class of penalty discontinuous Galerkin methods
for nonlocal diffusion problems
In this paper, we consider a class of discontinuous Galerkin (DG) methods for one-dimensional nonlocal diffusion (ND) problems. The nonlocal models, which are integral equations, are widely used in describing many physical phenomena with long-range interactions. The ND problem is the nonlocal analog of the classic diffusion problem, and as …