Semi-discrete method is known since 80's. The method provides analytical solution in time, so the time-stepping may be omitted. Comparing to usual finite elements in time, this method seems not to be numerically effective, because produced matrices are dense. From this reason, it was rather rarely used. But now, carrying out sensitivity analysis with adjoint models [1, 2] we have to obtain the solutions in forward and backward time. The both time points should coincide with each other. For space discretization we use finite elements, as usual. The semi-discrete method allows us to determine analytically the continuous solution for any given time of analysis. In this work we show evaluation of this method for different kind of excitation shapes.
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