A surface integral approach to Poisson's equation and analytic expressions for the gravitational field of toroidal mass distributions

DOI10.1016/j.apnum.2019.08.013zbMath1430.31004OpenAlexW2970632411MaRDI QIDQ2010260

Matt Majic

Publication date: 27 November 2019

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.08.013

zbMATH Keywords

Laplace equationPoisson equationpotentialsboundary integral representations

Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Cites Work

• A simple multigrid scheme for solving the Poisson equation with arbitrary domain boundaries
• The gravitational potential of a homogeneous polyhedron or don't cut corners
• A mesh‐free approach to solving the axisymmetric Poisson's equation
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