Hodge Laplacian of Spherical Coordinates
Nov 20 2017
We verify the following equation is correct by calculating Hodge laplacian.
`Delta = d delta + delta d``u_(x x) + u_(y y) + u_(z z) = u_(r r) + (2 / r) u_r + (1 / r^2) u_(theta theta) + (cos(theta) / (r^2 sin(theta))) u_theta + (1 / (r^2 sin^2(theta))) u_(phi phi)`