A Modified Natural BEM for Exterior Problems of the Helmholtz Equation

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/).

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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  -