A Modified Natural BEM for Exterior Problems of the Helmholtz Equation
Authors
Quan Zheng, Yue Gao
Corresponding Author
Quan Zheng
Available Online April 2015.
- DOI
- 10.2991/isrme-15.2015.433How to use a DOI?
- Keywords
- Helmholtz equation on infinite regions; modified DtN operator; natural boundary element method; existence and uniqueness of solution; error estimate
- Abstract
In this paper, a modified natural boundary element method (MNBEM) by using a modified DtN operator to improve the natural boundary element method (NBEM) is proposed for Neumann BVPs of the Helmholtz equation on unbounded domains. We prove the existence and the uniqueness of the solution of its variational problem in L2( ), and obtain L2 error estimate of the boundary element solution which depends on the wave number , the radius of the boundary, the exact solution , the mesh size and the number N of truncated terms taken from the infinite series. The numerical results confirm the well-posedness and the convergence.
- Copyright
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Quan Zheng AU - Yue Gao PY - 2015/04 DA - 2015/04 TI - A Modified Natural BEM for Exterior Problems of the Helmholtz Equation BT - Proceedings of the 2015 International Conference on Intelligent Systems Research and Mechatronics Engineering PB - Atlantis Press SP - 2090 EP - 2094 SN - 1951-6851 UR - https://doi.org/10.2991/isrme-15.2015.433 DO - 10.2991/isrme-15.2015.433 ID - Zheng2015/04 ER -