![]() Poisson’s equation is important because it is at the core of this project and, in the words of Richard Feynman, “The entire subject of electrostatics, from a mathematical point of view, is merely a study of the solutions of the single equation. It can be used to model gravity, fluid dynamics, steady-state heat transfer and electrostatics. Poisson’s equation has a wide range of applications in physics and engineering. ![]() Laplace equation is a special case of Poisson’s equation. It can be used to model a wide variety of objects such as metal prisms, wires, capacitors, inductors and lightning rods. Laplace equation models the electric potential of regions with no electric charge. Most of the work here was heavily inspired by "Computational Physics" book by Giordano and Nakanishi. This repo will focus on three iterative relaxation methods: ![]() ![]() ![]() There is one restriction: there must be a boundary in the geometry that you're testing and all the maxima and minima points (max and min potential) must be located at the boundary points. The solution of the Laplace equation for a given electrostatic geometry can be used to model the distribution of potential in a general way. ![]()
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