Green Functions in Electrostatics

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

Introduces the Sturm-Liouville problem, covering ODE solutions, boundary conditions, and eigenvalue problems.

Covers the solution of Maxwell equations using advanced and retarded Green functions, focusing on electrostatics with general boundary conditions.

Explores the Poincaré - Friedrichs theorem and kernel inequality in constant conditions and boundary uniqueness.

Explores unconfined flow analysis in geomechanics, emphasizing iterative solution methods and boundary condition considerations.

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

Covers linear PDEs of order 2, focusing on elliptic second-order PDEs and boundary conditions.

Explores solute transport in porous media, covering advection-diffusion equations, boundary conditions, reactions, and numerical modeling in PHREEQC.

Introduces the concept of electric displacement vector D and explores boundary conditions in dielectrics.

Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.