Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
513350 | Engineering Analysis with Boundary Elements | 2009 | 6 Pages |
Abstract
In this paper a new numerical technique for Laplace eigenvalue problems in the plane: â2w+k2w=0,xâΩâR2,B[w]=0,xââΩ is presented. We consider the case when the solution domain has boundary singularities like a reentrant corner, or an abrupt change in the boundary conditions. The method is based on mathematically modelling of physical response of a system to excitation over a range of frequencies. The response amplitudes are then used to determine the resonant frequencies. We use the local Fourier-Bessel basis functions to describe the behaviour of the solution near the singular point. The results of the numerical experiments justifying the method are presented. In particular, the L-shaped domain and the cracked beam eigenvalue problems are considered.
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Physical Sciences and Engineering
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Computer Science Applications
Authors
S.Yu. Reutskiy,