Author:

Keywords:

Science & Technology, Technology, Physical Sciences, Engineering, Multidisciplinary, Mathematics, Interdisciplinary Applications, Engineering, Mathematics, Trefftz method, Wave Based Method, Helmholtz problems, 3D bounded problems, FINITE-ELEMENT METHODS, PREDICTION TECHNIQUE, LAGRANGE MULTIPLIERS, ACOUSTIC SCATTERING, FREQUENCY, EQUATION, ERROR, FORMULATION, ADAPTIVITY, FRAMEWORK, 0102 Applied Mathematics, 0905 Civil Engineering, 0913 Mechanical Engineering, Applied Mathematics, 4005 Civil engineering, 4017 Mechanical engineering, 4901 Applied mathematics

Abstract:

This paper discusses the use of the Wave Based Method for the analysis of time-harmonic three-dimensional (3D) interior acoustic problems. Conventional element-based prediction methods, such as the Finite Element Method, are most commonly used for these types of problems, but they are restricted to low-frequency applications. The Wave Based Method is an alternative deterministic technique which is based on the indirect Trefftz approach. Up to now, this methods very high computational efficiency has been illustrated mainly for two-dimensional (2D) problem settings, allowing the analysis of problems at higher frequencies. The numerical validation examples presented in this work shows that the enhanced computational efficiency of the Wave Based Method in comparison with conventional element-based methods is kept when the method is extended to 3D case with and without the presence of material damping. © 2011 Elsevier Ltd.