Close evaluation of layer potentials in three dimensions

DOI10.1016/j.jcp.2020.109798OpenAlexW3080370233MaRDI QIDQ2123838

Camille Carvalho, Arnold D. Kim, Ricardo Cortez, Shilpa Khatri

Publication date: 14 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.02474

zbMATH Keywords

potential theorynumerical quadratureboundary integral equationsnearly singular integralsclose evaluation problem

Mathematics Subject Classification ID

Numerical analysis (65-XX) Quantum theory (81-XX)

Related Items (3)

A robust solver for elliptic PDEs in 3D complex geometries ⋮ Corrected trapezoidal rule for near-singular integrals in axi-symmetric Stokes flow ⋮ Asymptotic Approximations for the Close Evaluation of Double-Layer Potentials

Uses Software

• LAPLAC
• Asymptotic-DLP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quadrature by expansion: a new method for the evaluation of layer potentials
• Automatic computation of improper integrals over a bounded or unbounded planar region
• A local target specific quadrature by expansion method for evaluation of layer potentials in 3D
• A fast integral equation method for solid particles in viscous flow using quadrature by expansion
• Fast algorithms for quadrature by expansion. I: Globally valid expansions
• Asymptotic analysis for close evaluation of layer potentials
• On a certain quadrature formula
• Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in \(\mathbb R^3\)
• A high-order algorithm for obstacle scattering in three dimensions
• A fast algorithm for quadrature by expansion in three dimensions
• Error estimation for quadrature by expansion in layer potential evaluation
• On the evaluation of layer potentials close to their sources
• A Method for Computing Nearly Singular Integrals
• On the Convergence of Local Expansions of Layer Potentials
• Evaluation of Layer Potentials Close to the Boundary for Laplace and Helmholtz Problems on Analytic Planar Domains
• A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures
• Algorithm 629
• The Numerical Solution of Laplace’s Equation in Three Dimensions
• Numerical integration on the sphere
• On the extraction technique in boundary integral equations
• The Numerical Solution of Integral Equations of the Second Kind
• Asymptotic Approximations for the Close Evaluation of Double-Layer Potentials
• A Simple Method for Computing Singular or Nearly Singular Integrals on Closed Surfaces
• A Fast Algorithm for Spherical Grid Rotations and Its Application to Singular Quadrature
• A sinh transformation for evaluating nearly singular boundary element integrals
• A fast, high-order algorithm for the solution of surface scattering problems: Basic implementation, tests, and applications

This page was built for publication: Close evaluation of layer potentials in three dimensions