%0 Journal Article %T The Perfect Laplace Operator for Non-Trivial Boundaries %A S. Hauswirth %J Physics %D 2000 %I arXiv %R 10.1016/S0920-5632(01)00986-0 %X The application of Renormalization Group (RG) methods to find perfect discretizations of partial differential equations is a promising but little investigated approach. We calculate the classically perfect fixed-point Laplace operator for boundaries of non-trivial shape analytically and numerically and present a parametrization that can be used for solving the Poisson equation. %U http://arxiv.org/abs/hep-lat/0010033v1