Green Functions: Theory and Applications

Related lectures (30)

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Discusses the uniqueness of solutions for the Poisson equation and introduces the concept of Green function.

Explores boundary conditions, basis functions, and PDE solutions using Fourier and Bessel series.

Explores boundary conditions for D and E at material interfaces and in capacitors, emphasizing the impact of dielectrics.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

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

Covers magnetic fields, Ampère's law, and magnetic dipoles with examples and illustrations.

Explores electromagnetic wave propagation in materials, including loss-less and lossy mediums, optical constants, and dispersion in glasses.

Covers the study of translation groups on the interval [0,1] with different phases and the Riesz representation theorem on Hilbert space.

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.

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