Poisson & Laplace Equations: Understanding Electrostatics

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Covers the fundamental solutions of the Laplace equation and introduces distributions.

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Explains harmonic functions and their boundary conditions, including Dirichlet and Robin conditions.

Explores the challenges of Navier-Stokes equations, pressure checkerboard, staggered grid, and the SIMPLE algorithm.

Explores solving the Poisson problem using Fourier transform, discussing source terms, boundary conditions, and solution uniqueness.

Explores the maximum principle in harmonic functions and its implications for uniqueness and bounds on solutions.

Explores the Laplace equation, harmonic potential, and boundary conditions in groundwater flow, with practical examples.