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Mathematical Problems in Engineering
Volume 2014, Article ID 470346, 8 pages
http://dx.doi.org/10.1155/2014/470346
Research Article

Wave Propagation in Unbounded Domains under a Dirac Delta Function with FPM

1Civil Engineering Department, Eastern Mediterranean University, Famagusta, Via Mersin 10, Turkey
2Civil Engineering Department, Isfahan University of Technology, Isfahan, Iran
3Civil Engineering Department, Istanbul Aydin University, Istanbul, Turkey

Received 16 November 2013; Accepted 30 December 2013; Published 6 February 2014

Academic Editor: Hung Nguyen-Xuan

Copyright © 2014 S. Moazam et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Wave propagation in unbounded domains is one of the important engineering problems. There have been many attempts by researchers to solve this problem. This paper intends to shed a light on the finite point method, which is considered as one of the best methods to be used for solving problems of wave propagation in unbounded domains. To ensure the reliability of finite point method, wave propagation in unbounded domain is compared with the sinusoidal unit point stimulation. Results indicate that, in the case of applying stimulation along one direction of a Cartesian coordinate, the results of finite point method parallel to the stimulation have less error in comparison with the results of finite element method along the same direction with the same stimulation.