Exponential Convergence Theory of the Multipole and Local Expansions for the 3-D Laplace Equation in Layered Media

DOI10.4208/aam.oa-2023-0005arXiv2008.00571MaRDI QIDQ6191798

Wei Cai, Bo Wang, Wenzhong Zhang

Publication date: 11 March 2024

Published in: Annals of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.00571

zbMATH Keywords

layered mediafast multipole methodmultipole expansionslocal expansionsequivalent polarization sources3-D Laplace equationcagniard-de hoop transform

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Accuracy and efficiency in computing electrostatic potential for an ion channel model in layered dielectric/electrolyte media
• The fast multipole boundary element method for potential problems: a tutorial
• Fast multipole method for 3-D Poisson-Boltzmann equation in layered electrolyte-dielectric media
• Taylor expansion based fast multipole method for 3-d Helmholtz equations in layered media
• GMRES and the minimal polynomial
• Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
• Accurate and Efficient Nyström Volume Integral Equation Method for Electromagnetic Scattering of 3-D Metamaterials in Layered Media
• Electrical impedance tomography
• Multipole Translation Theory for the Three-Dimensional Laplace and Helmholtz Equations
• Exponential Convergence for Multipole and Local Expansions and Their Translations for Sources in Layered Media: Two-Dimensional Acoustic Wave
• Fast multipole method for scattering from an arbitrary PEC target above or buried in a lossy half space
• A New Green's Function Formulation for Modeling Homogeneous Objects in Layered Medium
• A fast algorithm for particle simulations
• Fast multipole method for 3-D Laplace equation in layered media

This page was built for publication: Exponential Convergence Theory of the Multipole and Local Expansions for the 3-D Laplace Equation in Layered Media