High performance implementation and conceptual develop- ment of the wave based method for steady-state dynamic analysis of acoustic problems

The wave based method (WBM) is considered for the steady-state dynamic analysis of acoustic problems as an alternative for the finite element method (FEM). The WBM exhibits better convergence properties with respect to model sizes, but the computation (CPU) times obtained by the current MATLAB implementation are large compared to commercially available FEM codes. Recently, a high performance FORTRAN code has been developed, which becomes more efficient than the commercially available FEM codes, even with respect to the CPU times. Despite the good results presented in this paper, the conceptual development of the WBM still requires much attention. The following topics are discussed briefly: the domain decomposition, the extension of the expansion of basis functions, which forms the approximation solution, the boundary integration scheme and the coupling between the FEM and the WBM. The results of these investigation may improve the efficiency of the high performance FORTRAN implementation further.