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A web app solving Poisson's equation in electrostatics using finite difference methods for discretization, followed by gauss-seidel methods for solving the equations. Dirichlet conditions and charge density can be set.

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Solving Poisson's Equation

A web app solving Poisson's equation in electrostatics using finite difference methods for discretization, followed by gauss-seidel methods for solving the equations. Dirichlet conditions and charge density can be set.

The demo can be found here. The work is based on the notes found here.

Configurations

One can set various configurations such as voltage (dirichlet conditions), charge density configurations. Here are some of them.

  • Parallel Plate Capacitor

parallel plate capacitor solution

  • Simple dipole

dipole solution

Various other configurations can be set using the editor in the app.

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A web app solving Poisson's equation in electrostatics using finite difference methods for discretization, followed by gauss-seidel methods for solving the equations. Dirichlet conditions and charge density can be set.

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