Abstract
Three-dimensional Helmholtz equation is one of the important differential equations in engineering. It appears in problems of acoustics, heat conduction and so on. If a domain has an arbitrary shape, the problems cannot be solved by the usual analytic procedure. On the other hand, approximate methods such as the finite element method are not necessarily sufficient for this purpose. This paper deals with a new method of analysis that is based on analytic solutions. In this method, boundary conditions are satisfied approximately at points located on surface of the domain. Eigenvalues and eigenmodes of some domains of revolution, an ellipsoid, a boxy domain and a frustum of pyramid are calculated as numerical examples. Results have good accuracy.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
