Solution of Helmholtz equation in the exterior domain by elementary boundary integral methods
type: Item
instance of: scholarly article
title: Solution of Helmholtz equation in the exterior domain by elementary boundary integral methods
zbMATH Open document ID: 0826.65096
author: Yanyan Li
published in: Journal of Computational Physics
publication date: 1995-11-26T00:00:00Z
review text: This paper is concerned with the direct and indirect boundary integral equations, based on Green's formula or the layer potential representation, for the Helmholtz equation in a smooth two-dimensional exterior domain. It surveys results on the solvability of the integral equations and on their approximate solution by spline collocation methods. In particular, spectral properties and conditioning of the boundary integral operators and their discrete boundary element counterparts are studied near characteristic wavenumbers. The effect of quadrature errors on the accuracy of the discrete collocation methods is also investigated. Numerical results are presented for the solution of several Dirichlet and Neumann problems.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35C15
zbMATH DE Number: 758627
zbMATH Keywords: boundary element methods
zbMATH Keywords: numerical results
zbMATH Keywords: boundary integral equations
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: exterior domain
zbMATH Keywords: spline collocation methods
zbMATH Keywords: conditioning
reviewed by: Johannes Elschner
MaRDI profile type: Publication
full work available at URL: jcph.1995.1093
OpenAlex ID: W1966049298
DOI: 10.1006/JCPH.1995.1093
description: scientific article; zbMATH DE number 758627