The Perfect Laplace Operator for Non-Trivial Boundaries

Details The Perfect Laplace Operator for Non-Trivial Boundaries The Perfect Laplace Operator for Non-Trivial Boundaries

2000-10-20

arxiv.org/abs/hep-lat/0010033v1

Nucl.Phys.Proc.Suppl. 94 (2001) 622-626

Physics

High Energy Physics

High Energy Physics - Lattice

Poster for Lattice 2000 (Improvement), 5 pages

Scientific paper

10.1016/S0920-5632(01)00986-0

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.

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