The solution of the non-homogeneous Helmholtz equation by means of the boundary element method
type: Item
instance of: scholarly article
title: The solution of the non-homogeneous Helmholtz equation by means of the boundary element method
zbMATH Open document ID: 0552.65077
DOI: 10.1016/0307-904X(84)90051-9
author: R. Rangogni
published in: Applied Mathematical Modelling
publication date: 1984-01-01T00:00:00Z
review text: One of the most important advantages of the boundary element method is that no internal discretization of the domain is required. This advantage, however, is generally lost when source terms are present in the governing differential equation. It is shown here that for the non- homogeneous Helmholtz equation with a harmonic source term, it is possible to transform the volume integral into a surface integral thus retaining this feature. The transformation is achieved using the Green formula. The technique is applied to solve numerically a test problem with known simple analytical solution.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 3880045
zbMATH Keywords: boundary element method
zbMATH Keywords: non-homogeneous Helmholtz equation
zbMATH Keywords: test problem
MaRDI profile type: Publication
cites work: Q4154221
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cites work: On the numerical solution of two-dimensional potential problems by an improved boundary integral equation method
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description: scientific article; zbMATH DE number 3880045