The Schwartz alternating algorithm for solving 3D exterior Helmholtz problems
type: Item
instance of: scholarly article
title: The Schwartz alternating algorithm for solving 3D exterior Helmholtz problems
zbMATH Open document ID: 1427.78030
DOI: 10.1155/2018/6029484
author: Xianqiang Yang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Based on the natural boundary reduction, an overlapping domain decomposition method is discussed for solving exterior Helmholtz problem over a three-dimensional (3D) domain. By introducing two different artificial boundaries, the original unbounded domain is divided into a bounded subdomain and a typical unbounded region, and a Schwartz alternating method is presented. The finite element method and natural boundary element method are alternately applied to solve the problems in the bounded subdomain and the typical unbounded subdomain. Moreover, the convergence of the Schwartz alternating algorithm is studied. Finally, some numerical experiments are presented to show the performance of this method.
Mathematics Subject Classification ID: 78M99
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 78A25
zbMATH DE Number: 7019222
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/6029484
OpenAlex ID: W2802839385
cites work: Q4024095
cites work: Analysis of continuous formulations underlying the computation of time- harmonic acoustics in exterior domains
cites work: A finite element method for large domains
cites work: Boundary Integral Equations for the Three-Dimensional Helmholtz Equation
cites work: Q4382712
cites work: A Schwarz alternating algorithm for elliptic boundary value problems in an infinite domain with a concave angle
cites work: Q3110346
cites work: Q4783287
cites work: Q4951036
cites work: A D-N alternating algorithm for solving 3D exterior Helmholtz problems
description: scientific article; zbMATH DE number 7019222