[PDF] Top 20 Finite Elements Based on Deslauriers Dubuc Wavelets for Wave Propagation Problems

... Abstract This paper presents the formulation of finite elements based on Deslauriers-Dubuc interpolating scaling functions, also known as Interpolets, for their use in wave propagation m[r] ... See full document

... complex-length finite element method (CFEM), is developed and shown to be more efficient than the existing finite element ...convergent based on two key features: unconventional stretching of the ... See full document

... of wave propaga- tion (WP) in elastic or acoustic media are of signific- ant importance in engineering applications, such as ultrasonic measurement procedures [6,14,17] pressure pulses propagation in large ... See full document

... optimal wave directions and support ...At finite k diffraction will occur due to finite aperture effects and the scattered wave will spread out, but as k → ∞ they become beams with ... See full document

... The finite element mesh size that provided the best fit to the empirical equation was chosen for the ensuing simulation (see Figure ...the wave generated by ...initial wave speed would require a ... See full document

... the wave propagation in the complex environment with multiple ...2D finite difference parabolic equation model (FD-PEM) to predict the propagation loss of horizontal ...for wave ... See full document

... tions based on paraxial approximations of the one-way wave equations to finite element ...the finite element models is implemented, and the efficiency of those boundary conditions is ... See full document

... The Bessel differential equation is the linear second-order ordinary differential equation, it considered one of the most important ordinary differential equations due it is wide applications such as heat transfer, ... See full document

... and wave propagation model for various PVB interlayer ...of wave propagation model but two results are agreed well to each other in condition of the same PVB interlayer ...present ... See full document

... D. C. Gazis analysed the propagation of free harmonic waves in a thin long cylinder. He provided the frequency equation for an arbitrary number of waves around the circumference in [31] and he presented the ... See full document

... which they inherit the convex hull and variation diminishing properties. A Theorem was proved, stating that, under some general convexity conditions about the feasible region, this transcription scheme can guarantee that ... See full document

... A finite element method is used to calculate the stiffness, mass and damping matrices, and periodic struc- ture theory is used to obtain the wave propagation of one-dimensional ...the finite ... See full document

... quasilongitudinal wave field is a three-connected region) ...quasilongitudinal wave is a five-connected region bounded by an external front and parts of the inner wave front that connect the return ... See full document

... The figure 1 and 2 indicate the geometrical structure of a microwave directional coupler, which is a four-port network consisting of two transmission lines that are electromagnetic coupled to each other. The first port ... See full document

... relating wave propagation in rotating isotropic or transversely isotropic media was reported in literature, some of which are the works of RoyChoudhuri [25], Gupta and Gupta [26], Singh [30] ...the ... See full document

... the propagation coefficient γ ...the wave traveling path during an impact test, pulse duration should be controlled to avoid wave superposition at the gauge ... See full document

... Three numerical case studies are presented. The first, two collinear bars connected through another bar of a different material characteristics. An analytical solutions exists for the dispersion relation and wave ... See full document

... results obtained by this scheme indicates that the method is stable and produces an accurate solutions for the heat conduction problems with phase change; even when large.. time steps us[r] ... See full document

... the wave-type, it automatically ensures finite speeds of propagation for heat and elastic ...a finite speed of heat propagation and is known as the theory of thermoelasticity with two ... See full document

... The finite element results were further used as experimental data in order to establish a predictive model to evaluate the error of FEM and as a model to serve whenever a design for similar abstraction is ... See full document