Classical Electrodynamics |
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Page 16
This is called a Dirichlet problem, or Dirichlet boundary conditions. Similarly it is
plausible that specification of the electric ... Specification of the normal derivative
is known as the Neumann boundary condition. We now proceed to prove these ...
This is called a Dirichlet problem, or Dirichlet boundary conditions. Similarly it is
plausible that specification of the electric ... Specification of the normal derivative
is known as the Neumann boundary condition. We now proceed to prove these ...
Page 18
1.10 Formal Solution of Electrostatic Boundary-Value Problem with Green's
Function The solution of Poisson's or Laplace's equation in a finite volume V with
either Dirichlet or Neumann boundary conditions on the bounding surface S can
be ...
1.10 Formal Solution of Electrostatic Boundary-Value Problem with Green's
Function The solution of Poisson's or Laplace's equation in a finite volume V with
either Dirichlet or Neumann boundary conditions on the bounding surface S can
be ...
Page 19
Thus, for Dirichlet boundary conditions we demand: Gosz, x) = 0 for x' on S (1.43)
4– Then the first term in the surface integral in (1.42) vanishes and the solution is
on da (144) on' - For Neumann boundary conditions we must be more careful.
Thus, for Dirichlet boundary conditions we demand: Gosz, x) = 0 for x' on S (1.43)
4– Then the first term in the surface integral in (1.42) vanishes and the solution is
on da (144) on' - For Neumann boundary conditions we must be more careful.
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Contents
Introduction to Electrostatics | 1 |
BoundaryValue Problems in Electrostatics I | 26 |
BoundaryValue Problems in Electrostatics II | 54 |
Copyright | |
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