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math.NA2020
Finite elements for Helmholtz equations with a nonlocal boundary condition
Robert C. Kirby, Andreas Klöckner, Ben Sepanski
Numerical resolution of exterior Helmholtz problems requires some approach to domain truncation. As an alternative to approximate nonreflecting boundary conditions and invocation o…
math.NA2020★ 2 cited
On the Approximation of Local Expansions of Laplace Potentials by the Fast Multipole Method
Matt Wala, Andreas Klöckner
In this paper, we present a generalization of the classical error bounds of Greengard-Rokhlin for the Fast Multipole Method (FMM) for Laplace potentials in three dimensions, extend…