Extending the fast multipole method for charges inside a dielectric sphere in an ionic solvent: High-order image approximations for reaction fields

  • Authors:

  • Shaozhong Deng;Wei Cai

  • Affiliations:

  • Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, United States;Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, United States

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2007

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Abstract

As a sequel to our previous paper on extending the Fast Multipole Method (FMM) for charges inside a dielectric sphere [J. Comput. Phys. 223 (2007) 846-864], this paper further extends the FMM to the electrostatic calculation for charges inside a dielectric sphere immersed in an ionic solvent, a scenery with more relevance in biological applications. The key findings include two fourth-order multiple discrete image approximations in terms of u=@la to the reaction field induced by the ionic solvent, provided that u=@la