A Finite Element Based P$^3$M Method for $N$-Body Problems
A Finite Element Based P$^3$M Method for $N$-Body Problems
In this paper we introduce a new mesh-based method for $N$-body calculations. The method is founded on a particle-particle--particle-mesh (P$^3$M) approach, which decomposes a potential into rapidly decaying short-range interactions and smooth, mesh-resolvable long-range interactions. However, in contrast to the traditional approach of using Gaussian screen functions to accomplish this …