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First Approach to Combine Particle Model Algorithms with Modal Analysis using FEM

Geometrical approaches like ray tracing method and image source method are not sufficient in small and complex shaped rooms in order to take proper account of the wave nature of the sound field and to obtain room acoustic characteristics in higher quality in the low frequency bands. We present an overview of using the Finite Element Method (FEM) for performing modal analysis in closed environments and to show diffraction effects in EASE, the acoustic simulation software, which is not possible with existing particle models especially below the Schroeder frequency. For this purpose we consider the solution of the general quadratic eigenvalue problem arising from finite element analysis in enclosures with complex shapes and general impedance boundary condition. We are mainly concerned with the attempt of showing the practical feasibility of FEM in room acoustics and to combine it with the particle model in order to obtain the broad-band response of the room. Also, fundamental points regarding the Finite Element Method, iterative methods and required mesh quality are discussed.

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