A Fast Solver for a Nonlocal Dielectric Continuum Model

@article{Xie2012AFS,
  title={A Fast Solver for a Nonlocal Dielectric Continuum Model},
  author={Dexuan Xie and Yi Jiang and Peter R. Brune and Leighton R. Scott},
  journal={SIAM J. Sci. Comput.},
  year={2012},
  volume={34}
}
The nonlocal continuum dielectric model is an important extension of the classical Poisson dielectric model, but it is very expensive to be solved in general. In this paper, we prove that the solution of one commonly used nonlocal continuum dielectric model of water can be split as a sum of two functions, and these two functions are simply the solutions of one Poisson equation and one Poisson-like equation. With this new solution splitting formula, we develop a fast finite element algorithm and… 

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