The eigenvalue problem for the Laplace operator in two dimensions is classical in
mathematics and physics. Nevertheless, computational methods for estimating the …

The subject of conformal mappings is a major part of geometric function theory that gained
prominence after the publication of the Riemann mapping theorem—for every simply …

The present paper reports the results from a series of numerical experiments dealing with
the determination of the lower natural frequencies for the transverse vibration of annular …

The article focuses on the determination of the acoustic properties (sound transmission loss,
sound absorption and transmission coefficient under acoustic plane wave excitation) of …

In this paper a new numerical technique for problems of free vibrations of non-
homogeneous membranes:∇ 2w+ k2q (x) w= 0, x∈ Ω⊂ R2, B [w]= 0, x∈∂ Ω is presented …

An analytical perturbative method is suggested for solving the Helmholtz equation (∇ 2+ k
2) ψ= 0 in two dimensions where ψ vanishes on an irregular closed curve. We can thus find …

Membrane sensors have been widely used in various fields owing to their multifunctionality
and cost-effectiveness. However, few studies have investigated frequency-tunable …

This paper deals with an approximate method based on the technique of conformal mapping
and a variational formulation which allows for a straightforward solution of the title problem …