A D-N Alternating Algorithm for Solving 3D Exterior Helmholtz Problems. (20th July 2014)

• Record Type: Journal Article
• Authors: Chen, Qing; Liu, Baoqing; Du, Qikui
• Other Names: He Xiao-Qiao Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2014(2014)
• Publication Date: 2014-07-20
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2014/418426
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The nonoverlapping domain decomposition method, which is based on the natural boundary reduction, is applied to solve the exterior Helmholtz problem over a three-dimensional domain. The basic idea is to introduce a spherical artificial boundary; the original unbounded domain is changed into a bounded subdomain and a typical unbounded region; then, a Dirichlet-Nuemann (D-N) alternating method is presented; the finite element method and natural boundary element methods are alternately applied to solve the problems in the bounded subdomain and the typical unbounded subdomain. The convergence of the D-N alternating algorithm and its discretization are studied. Some numerical experiments are presented to show the performance of this method.