Unified construction of Green's functions for Poisson's equation in inhomogeneous media with diffuse interfaces

DOI10.1016/j.cam.2017.06.007zbMath1457.78005OpenAlexW2626152882MaRDI QIDQ2012609

Shaozhong Deng, Changfeng Xue

Publication date: 1 August 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.06.007

zbMATH Keywords

Green's functionPoisson's equationLaplace's equationdiffuse interface

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electro- and magnetostatics (78A30) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (3)

A regularization approach for solving the super-Gaussian Poisson-Boltzmann model with heterogeneous dielectric functions ⋮ A regularization approach for solving Poisson's equation with singular charge sources and diffuse interfaces ⋮ On regularization of charge singularities in solving the Poisson-Boltzmann equation with a smooth solute-solvent boundary

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• A robust numerical method for self-polarization energy of spherical quantum dots with finite confinement barriers
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• Coulomb Green's function and image potential near a cylindrical diffuse interface
• Ellipsoidal harmonic expansions of the gravitational potential: theory and application

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