This concerns the linear elasticity model for an orthotropic material. Assuming that there are two approaches to solve this model. The first one is based on spectral method (Discrete Fourier Transform , DFT), and the second one is based on the Finite Element Method (FEM).

• I would like to know the advantage of each model? Which one is efficient about the computation and time. Are there papers dealing about this comparison?

• If they are parallelized on MPI, such as the first one with using FFTW, and the second one with adequate library as Petsc. Then, which one will become robust?