> > > > I tried to implement the static heat equation in cylindrical coordinates > on a > > 2d-plane, while being radially symmetric at x = 0. That leads me to the > > following weak formulation of the problem (while neglecting the factor > 2\pi): > > > > \int\limits_0^R \nabla U\nabla\phi r dr dz = \int\limits_0^R f\phi r dr > dz > > > > Compared to the cartesian version > > > > \int\limits_0^Y \nabla U\nabla\phi dx dy = \int\limits_0^Y f\phi dx dy > > > > the onliest difference is the factor r in the equation. > In case you are trying to solve the problem in cylindrical coordinates, you also have to take into account that the laplacian looks different with respect to these coordinates.
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