Transient and stationary problems can be modelized either in the time domain or in the frequency domain. Time step schemes can directly be adopted to frequency domain formulations. Often, this is more complicated than the original formulation, but there are several applications where time domain modelling is not or hardly possible. For example, the boundary element method (BEM) cannot be applied to complicated materials because the fundamental solution is not known in the original space. But we have it in almost all cases in the Fourier domain. Hence, a Fourier-BEM which is only based on the transformed fundamental solution is presented here for the solution of problems in elasticity, poro-elasticity, or thermo-elasticity. The range of applications is by far not exceeded with these applications.
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