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CylindricalGravity

v9	v10
31	31	[[latex($\nabla^2 = \frac{1}{r ^2} \frac{\partial}{\partial r}(r^2 \frac{\partial f}{\partial r}) $)]]
32	32
33		The game then becomes expanding out these derivatives, discretizing the Laplacian, and putting the resulting ~~operator~~ in matrix form. This matrix will differ from the cartesian version in its coefficients. So, to modify the existing code, I will add different coefficients to the matrix for different geometries. These matrices are then sent off to hypre to be solved for phi.
	33	The game then becomes expanding out these derivatives, discretizing the Laplacian, and putting the resulting system of poisson equations for the mesh in matrix form. This matrix will differ from the cartesian version in its coefficients. So, to modify the existing code, I will add different coefficients to the matrix for different geometries. These matrices are then sent off to hypre to be solved for phi.
34	34