![]() Actually, the resultant spatial discretization error is closely related to the number of employed elements per wavelength. One intractable issue of them is that the concomitant spatial discretization error always arises in the numerical solutions and cannot be completely avoided. ![]() Nevertheless, the finite element approach also suffers from several inherent shortcomings in wave analysis. By using the appropriate time integration algorithms, the required discretization in the time domain can also be realized, and then the considered transient wave propagations can finally be solved.Īlthough a large number of spatial discretization schemes can be exploited to discretize the involved problem domain spatially (such as the finite difference method, the spectral element method, the smoothed FEM, the meshless techniques, and the boundary element or boundary-based numerical algorithms ), the traditional finite element approach is still dominantly employed in practice due to its relatively firm mathematical background and easy implementation. ![]() Then, a series of semi-discrete dynamic equations, which are discrete in the space domain and continuous in the time domain, can be obtained. The finite element method (FEM) is mainly adopted to achieve the discretization of the overall space domain. In practice, the finite element approach with the direct time integration algorithm is widely utilized to solve complex transient wave propagation dynamics. In essence, solving this type of engineering problem is to effectively handle the time-continuous governing partial differential equations via numerical approaches. ![]() In many engineering application areas, transient wave propagation dynamics are frequently encountered. ![]() Retrieved from (RPIM)+for+Wave.-a0742882233Īuthor(s): Cong Liu Shaosong Min Yandong Pang Yingbin Chai (corresponding author) APA style: The Meshfree Radial Point Interpolation Method (RPIM) for Wave Propagation Dynamics in Non-Homogeneous Media.The Meshfree Radial Point Interpolation Method (RPIM) for Wave Propagation Dynamics in Non-Homogeneous Media." Retrieved from (RPIM)+for+Wave.-a0742882233 MLA style: "The Meshfree Radial Point Interpolation Method (RPIM) for Wave Propagation Dynamics in Non-Homogeneous Media." The Free Library. ![]()
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