Solution of the Helmholtz eigenvalue problem via the boundary element method | Zendy

Kirkup S. M. | Zendy; Amini S. | Zendy

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Solution of the Helmholtz eigenvalue problem via the boundary element method

Author(s) -

Kirkup S. M.,

Amini S.

Publication year - 1993

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620360210

Subject(s) - mathematics , eigenvalues and eigenvectors , mathematical analysis , boundary element method , helmholtz equation , boundary value problem , helmholtz free energy , method of fundamental solutions , divide and conquer eigenvalue algorithm , finite element method , boundary (topology) , boundary knot method , physics , quantum mechanics , thermodynamics

The numerical solution of the Helmholtz eigenvalue problem is considered. The application of the boundary element method reduces it to that of a non‐linear eigenvalue problem. Through a polynomial approximation with respect to the wavenumber, the non‐linear eigenvalue problem is reduced to a standard generalized eigenvalue problem. The method is applied to the test problems of a three‐dimensional sphere with an axisymmetric boundary condition and a two‐dimensional square.

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