A D-N Alternating Algorithm for Solving 3D Exterior Helmholtz Problems

Qing Chen, Baoqing Liu and Qikui Du

Mathematical Problems in Engineering, 2014, vol. 2014, 1-8

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:418426

DOI: 10.1155/2014/418426

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