A regularization approach for solving Poisson's equation with singular charge sources and diffuse interfaces

@article{Wang2020ARA,
  title={A regularization approach for solving Poisson's equation with singular charge sources and diffuse interfaces},
  author={Siwen Wang and Arum Lee and Emil Alexov and Shan Zhao},
  journal={Appl. Math. Lett.},
  year={2020},
  volume={102},
  pages={106144}
}
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On regularization of charge singularities in solving the Poisson-Boltzmann equation with a smooth solute-solvent boundary.
TLDR
A novel regularization formulation is proposed to capture the singularity analytically, which is the first of its kind for diffuse interface PB models and validated by calculating electrostatic free energies for a set of proteins and by estimating salt affinities for seven protein complexes.
Regularization methods for the Poisson-Boltzmann equation: Comparison and accuracy recovery
A regularization approach for solving the super-Gaussian Poisson-Boltzmann model with heterogeneous dielectric functions

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