Semi-analytic solution to planar Helmholtz equation

Martin Tukač, Tomáš Vampola


Acoustic solution of interior domains is of great interest. Solving acoustic pressure fields faster with lower computational requirements is demanded. A novel solution technique based on the analytic solution to the Helmholtz equation in rectangular domain is presented. This semi-analytic solution is compared with the finite element method, which is taken as the reference. Results show that presented method is as precise as the finite element method. As the semi-analytic method doesn’t require spatial discretization, it can be used for small and very large acoustic problems with the same computational costs.


semi-analytic; acoustics; Helmholtz; Galerkin; weighted residuals method

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