Computation of acoustic scattering from elastic conical shells with endcaps using the hybrid finite element/ virtual source approach

The waveguide is discretized by means of 200 identical substructures, each of these being discretized by means of 4 × 6 linear finite elements (see Figure 1(a)). In this case,

First the wave packet method for approximating solutions of the Schrödinger equation (see for example [7] and [17], or [3] for a generalized notion of wave packet) that we will

We conclude that the free boundary and weighted shear stabilizations conside- rably improve the numerical results for this particular membrane-dominated shell problem, but also

Problems dealing with wave scattering in a heterogeneous medium are investigated in applications, whose associated scales can be extremely different (seismic waves, ultrasound

Figure 4 shows that for a well-posed method, the energy tends to be conserved for small time steps, but Figures 5 and 6 show that, with an ill-posed method (such as

The nonlinear heat transfer process occurring during hybrid laser welding was simulated using the Virtual-node Polygonal Element (VPE) method within the framework of the Finite

In this paper we show that for the radial motion of an incompressible spherical or cylindrical shell the special geometry enables us to determine completely the behaviour of

Based on this idea, we define, in this paper, a Finite Di ff erence Element Method concept and we present a very simple four nodes quadrangular Finite Di ff erence Element