Extending the fast multipole method to charges inside or outside a dielectric sphere

DOI10.1016/j.jcp.2006.10.019zbMath1183.78038OpenAlexW2099456305MaRDI QIDQ882100

Donald J. Jacobs, Shaozhong Deng, Wei Cai

Publication date: 23 May 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.10.019

zbMATH Keywords

fast multipole methoddielectric sphereimage charge

Mathematics Subject Classification ID

Related Items (14)

Accuracy and efficiency in computing electrostatic potential for an ion channel model in layered dielectric/electrolyte media ⋮ Comparison of efficient techniques for the simulation of dielectric objects in electrolytes ⋮ Image approximations to electrostatic potentials in layered electrolytes/dielectrics and an ion-channel model ⋮ A sixth-order image approximation to the ionic solvent induced reaction field ⋮ Green’s Function Problem of Laplace Equation with Spherical and Prolate Spheroidal Boundaries by Using the Null-Field Boundary Integral Equation ⋮ Extending the fast multipole method for charges inside a dielectric sphere in an ionic solvent: high-order image approximations for reaction fields ⋮ A Fast Method for Evaluating Green's Function in Irregular Domains with Application to Charge Interaction in a Nanopore ⋮ Harmonic Surface Mapping Algorithm for Electrostatic Potentials in an Atomistic/Continuum Hybrid Model for Electrolyte Solutions ⋮ A High-Accurate Fast Poisson Solver Based on Harmonic Surface Mapping Algorithm ⋮ A comparable study of image approximations to the reaction field ⋮ New versions of image approximations to the ionic solvent induced reaction field ⋮ A heterogeneous FMM for layered media Helmholtz equation. I: Two layers in \(\mathbb{R}^2\) ⋮ A Hybrid Method for Systems of Closely Spaced Dielectric Spheres and Ions ⋮ Image charge approximations of reaction fields in solvents with arbitrary ionic strength

Uses Software

• ORTHPOL

Cites Work

• Unnamed Item
• A fast adaptive multipole algorithm in three dimensions
• On the Method of Images for Systems of Closely Spaced Conducting Spheres
• A Fast Adaptive Multipole Algorithm for Particle Simulations
• Preconditioned, Adaptive, Multipole-Accelerated Iterative Methods for Three-Dimensional First-Kind Integral Equations of Potential Theory
• Algorithm 726: ORTHPOL–a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
• A Method of Images for the Evaluation of Electrostatic Fields in Systems of Closely Spaced Conducting Cylinders
• A fast algorithm for particle simulations

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