651 citations
- National Institute of Standards and TechnologyUS35 papers
- University of California, Los AngelesUS5 papers
- University of AucklandNZ4 papers
- Joint Quantum InstituteUS3 papers
- Oak Ridge National LaboratoryUS3 papers
- University of ChicagoUS3 papers
- University of Maryland, College ParkUS3 papers
- Center for Nanoscale Science and TechnologyUS2 papers
- Courant Institute of Mathematical SciencesUS2 papers
- George Mason UniversityUS2 papers
- Material Measurement LaboratoryUS2 papers
- New York UniversityUS2 papers
4 papers · 1 filter
A fast multipole method for the evaluation of elastostatic fields in a half-space with zero normal stress
Zydrunas Gimbutas, Leslie Greengard
In this paper, we present a fast multipole method (FMM) for the half-space Green's function in a homogeneous elastic half-space subject to zero normal stress, for which an explicit…
Fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry
Howard S. Cohl, Ernie G. Kalnins
Due to the isotropy of -dimensional hyperbolic space, one expects there to exist a spherically symmetric fundamental solution for its corresponding Laplace-Beltrami operator. Th…
Opposite Antipodal Fundamental Solution of Laplace's Equation in Hyperspherical Geometry
Howard S. Cohl
Due to the isotropy of -dimensional hyperspherical space, one expects there to exist a spherically symmetric opposite antipodal fundamental solution for its corresponding Laplac…
Fourier and Gegenbauer expansions for a fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry
Howard S. Cohl, Ernie G. Kalnins
Due to the isotropy -dimensional hyperbolic space, there exist a spherically symmetric fundamental solution for its corresponding Laplace-Beltrami operator. On the -radius hy…