9 citations · 12 across the 3 of their papers we have counts for
6 papers · 1 filter
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…
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…
An Integral Equation Method for the Cahn-Hilliard Equation in the Wetting Problem
Xiaoyu Wei, Shidong Jiang, Andreas Kloeckner +1
We present an integral equation approach to solving the Cahn-Hilliard equation equipped with boundary conditions that model solid surfaces with prescribed Young's angles. The discr…
Optimization of Fast Algorithms for Global Quadrature by Expansion Using Target-Specific Expansions
Matt Wala, Andreas Klöckner
We develop an algorithm for the asymptotically fast evaluation of layer potentials close to and on the source geometry, combining Geometric Global Accelerated QBX (`GIGAQBX') and t…
Multiscale Hydrophobic Lipid Dynamics Simulated by Efficient Integral Equation Methods
Szu-Pei P. Fu, Rolf J. Ryham, Andreas Klöckner +3
In this paper, we first develop a mathematical model for long-range, hydrophobic attraction between amphiphilic particles. The non-pairwise interactions follow from the first varia…
Multi-Rate Time Integration on Overset Meshes
Cory Mikida, Andreas Klöckner, Daniel Bodony
Overset meshes are an effective tool for the computational fluid dynamic simulation of problems with complex geometries or multiscale spatio-temporal features. When the maximum all…