109 citations
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physics.comp-ph2008★ 13 cited
A new method for studying the vibration of non-homogeneous membranes
Paolo Amore
We present a method to solve the Helmholtz equation for a non-homogeneous membrane with Dirichlet boundary conditions at the border of arbitrary two-dimensional domains. The method…
physics.comp-ph2008★ 27 cited
Solving the Helmholtz equation for membranes of arbitrary shape
Paolo Amore
I calculate the modes of vibration of membranes of arbitrary shape using a collocation approach based on Little Sinc Functions. The matrix representation of the PDE obtained using…