The method of fundamental solutions for the Helmholtz equation
type: Item
instance of: scholarly article
title: The method of fundamental solutions for the Helmholtz equation
zbMATH Open document ID: 1406.65130
author: Y. Chen
author: Hung-Tsai Huang
author: Zi-Cai Li
author: Yimin Wei
published in: Applied Numerical Mathematics
publication date: 2018-10-31T00:00:00Z
Mathematics Subject Classification ID: 65N80
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 6969488
zbMATH Keywords: method of fundamental solutions
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: error analysis
zbMATH Keywords: stability
zbMATH Keywords: condition number
zbMATH Keywords: degeneracy
MaRDI profile type: Publication
full work available at URL: j.apnum.2018.09.008
OpenAlex ID: W2891133414
cites work: On an identity for zeros of Bessel functions
cites work: Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains
cites work: The method of fundamental solutions for Helmholtz-type equations in composite materials
cites work: Fundamental Solutions Method for Elliptic Boundary Value Problems
cites work: Q3208805
cites work: Q3323133
cites work: The method of fundamental solutions for scattering and radiation problems.
cites work: Q3671491
cites work: Boundary knot method for 2D and 3D Helmholtz and convection-diffusion problems under complicated geometry
cites work: Solving the 3D Laplace equation by meshless collocation via harmonic kernels
cites work: A fundamental solution method for inverse heat conduction problem
cites work: A numerical computation for inverse boundary determination problem
cites work: The method of fundamental solutions for inverse boundary value problems associated with the steady-state heat conduction in anisotropic media
cites work: Q4730728
cites work: Q3210808
cites work: Charge simulation method using exterior mapping functions
cites work: The collocation points of the fundamental solution method for the potential problem
cites work: The Trefftz method for the Helmholtz equation with degeneracy
cites work: The method of fundamental solutions for annular shaped domains
cites work: Ill-conditioning of the truncated singular value decomposition, Tikhonov regularization and their applications to numerical partial differential equations.
cites work: Neumann problems of 2D Laplace's equation by method of fundamental solutions
cites work: Q5431480
cites work: Stability analysis of method of fundamental solutions for mixed boundary value problems of Laplace's equation
cites work: The method of fundamental solutions for acoustic wave scattering by a single and a periodic array of poroelastic scatterers
cites work: Q3579593
cites work: The method of fundamental solutions for Helmholtz eigenvalue problems in simply and multiply connected domains
cites work: Solving the Laplace equation by meshless collocation using harmonic kernels
cites work: Q3847171
cites work: Using the Method of Fundamental Solutions for Obtaining Exponentially Convergent Helmholtz Eigensolutions
cites work: Analysis of the method of fundamental solutions for the modified Helmholtz equation
cites work: Error estimates for a fundamental solution method applied to reduced wave problems in a domain exterior to a disc
cites work: Cauchy problems of Laplace's equation by the methods of fundamental solutions and particular solutions
DOI: 10.1016/J.APNUM.2018.09.008
describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 6969488