The Perfect Laplace Operator for Non-Trivial Boundaries
arXiv:hep-lat/0010033 · doi:10.1016/S0920-5632(01)00986-0
Abstract
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.
Poster for Lattice 2000 (Improvement), 5 pages