Theoretical aspects and numerical computation  of the time-harmonic Green's function for an isotropic elastic half-plane with an impedance boundary condition

Mario Durán; Eduardo Godoy; Jean-Claude Nédélec

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The Singularity Expansion Method applied to the transient motions of a floating elastic plate

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In this paper we propose an original approach for the simulation of the time-dependent response of a floating elastic plate using the so-called . This method consists in computing an asymptotic behaviour for large time obtained by means of the Laplace transform by using the analytic continuation of the resolvent of the problem. This leads to represent the solution as the sum of a discrete superposition of exponentially damped oscillating motions associated to the poles of the analytic...