Geometric discretization of the multidimensional Dirac delta distribution -- application to the Poisson equation with singular source terms
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Publication:1691865
DOI10.1016/j.jcp.2017.06.003zbMath1380.65349OpenAlexW2622659011MaRDI QIDQ1691865
Publication date: 25 January 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2017.06.003
Fundamental solutions to PDEs (35A08) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical integration (65D30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)
Related Items (6)
Regularization methods for the Poisson-Boltzmann equation: comparison and accuracy recovery ⋮ A shallow Ritz method for elliptic problems with singular sources ⋮ A regularization approach for solving Poisson's equation with singular charge sources and diffuse interfaces ⋮ A Cartesian FMM-accelerated Galerkin boundary integral Poisson-Boltzmann solver ⋮ Sixth order compact finite difference schemes for Poisson interface problems with singular sources ⋮ On regularization of charge singularities in solving the Poisson-Boltzmann equation with a smooth solute-solvent boundary
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