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Mathematical Problems in Engineering
Volume 2016, Article ID 3564632, 13 pages
http://dx.doi.org/10.1155/2016/3564632
Research Article

Numerical Investigation on Convergence Rate of Singular Boundary Method

State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Center for Numerical Simulation Software in Engineering and Sciences, College of Mechanics and Materials, Hohai University, Nanjing 210098, China

Received 19 November 2015; Accepted 6 April 2016

Academic Editor: George Tsiatas

Copyright © 2016 Junpu Li 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.

Citations to this Article [9 citations]

The following is the list of published articles that have cited the current article.

  • Wen Chen, Junpu Li, and Zhuojia Fu, “Singular boundary method using time-dependent fundamental solution for scalar wave equations,” Computational Mechanics, 2016. View at Publisher · View at Google Scholar
  • Loeffler, Pereira, Lara, and Mansur, “Comparison between the formulation of the boundary element method that uses fundamental solution dependent of frequency and the direct radial basis boundary element formulation for solution of Helmholtz problems,” Engineering Analysis with Boundary Elements, vol. 79, pp. 81–87, 2017. View at Publisher · View at Google Scholar
  • Yong Zhang, Xu Li, and Tao Zhang, “Modeling Sound Propagation Using the Corrective Smoothed Particle Method with an Acoustic Boundary Treatment Technique,” Mathematical and Computational Applications, vol. 22, no. 1, pp. 26, 2017. View at Publisher · View at Google Scholar
  • Junpu Li, Wen Chen, and Yan Gu, “Error bounds of singular boundary method for potential problems,” Numerical Methods for Partial Differential Equations, vol. 33, no. 6, pp. 1987–2004, 2017. View at Publisher · View at Google Scholar
  • Bojana Petkovic, Reinhard Schmidt, Eva-Maria Dolker, and Jens Haueisen, “Method of Fundamental Solutions Applied to 3-D Velocity Induced Eddy Current Problems,” IEEE Transactions on Magnetics, vol. 54, no. 8, 2018. View at Publisher · View at Google Scholar
  • Junpu Li, and Wen Chen, “Singular boundary method based on time-dependent fundamental solutions for active noise control,” Numerical Methods for Partial Differential Equations, 2018. View at Publisher · View at Google Scholar
  • Weiwei Li, “A fast singular boundary method for 3D Helmholtz equation,” Computers and Mathematics with Applications, 2018. View at Publisher · View at Google Scholar
  • Weiwei Li, and Wen Chen, “Simulation of the band structure for scalar waves in 2D phononic crystals by the singular boundary method,” Engineering Analysis with Boundary Elements, vol. 101, pp. 17–26, 2019. View at Publisher · View at Google Scholar
  • Junpu Li, Zhuojia Fu, Wen Chen, and Qing-Hua Qin, “A regularized approach evaluating origin intensity factor of singular boundary method for Helmholtz equation with high wavenumbers,” Engineering Analysis with Boundary Elements, vol. 101, pp. 165–172, 2019. View at Publisher · View at Google Scholar