[PDF] Top 20 On numerical issues for the wave/finite element method

... There is a clear trade-off among the round-off errors due to the inertia term, the FE discretisation error and the conditioning especially at low frequencies. To calculate accurate results at low frequencies, using ... See full document

... the wave properties of a structure is of great value. Wave approaches can then be ...WFE method [2,3] is applied to model the free and forced vibration of a ...reviewed. Element matrices of a ... See full document

... 2.1. Literature Review of Existing Methods The problem of a standing wave with zero contact angle is analyzed by Tadjbaksh, et al [2]. Goda [3] has analyzed the same problem using fourth order approximation. He ... See full document

... controlled wave equation by the numerical approximation ...controlled wave equation and they obtained the controllability for the semi-discrete wave system, with the controls taken from an ... See full document

... travelling wave dielectrophoresis. This paper presents, numerical solutions of the DEP and travelling wave forces for an interdigitated electrode array energised with either a 2- or 4-phase ... See full document

... propagation method was first applied to optoelectronics in 1980 (Feit and Fleck 1980) and the solutions for the optical waveguides can be made to generate mode- related properties such as propagation constants, ... See full document

... guided wave incident obliquely on a surface breaking crack in a laminated composite plate, with a view to ultrasonic nondestructive assessment of ...The method used for modeling is a hybrid method ... See full document

... a method for finding an approximate solution for a simplified ...model. Numerical treatment reduces the simplified model to a form which is solvable by a finite number of numerical ...a ... See full document

... blast wave is ...with finite element method is very ...simulating method is believed to be useful to some other research work related to blast wave and structure ... See full document

... combined method for defining the field points and connected using optimization ...adaptive finite element methods in which both grid size 'h' and local polynomial 'p' are dynamically altered, are ... See full document

... classical numerical methods such as the finite element method (FEM), the finite volume method (FVM) or the finite difference method (FDM) are inefficient, as the ... See full document

... elements. Numerical results obtained in this way are compared with the theoretical values, and good agreement is ...standard finite element ... See full document

... viscoelastic wave equation and furnish the implement procedure for the OFEE ...the numerical simulation errors with the theoretical errors we have verified that the theoretical errors are concordant with the ... See full document

... the numerical solution and the comparison of these two approaches, in order to examine the accuracy and the precision of the numerical ones, such as Finite Element Method (FEM), ... See full document

... a numerical method for solving wave equations (finite difference method), an effective numerical scheme for finding approximate optimal control and state functions has been ... See full document

... the finite element method. The method was initially used for the mechanical calculation of the aircraft structures but subsequently extended to all the issues of the material ...these ... See full document

... Novel Finite Difference Formulation for Differential Equations Involving Both First and Sec- ond Derivatives,” International Journal for Numerical Me- thods in Engineering, ... See full document

... and numerical method, of the equation of the pore water ...the finite element method for the numeri- cal ...the finite element method have validated those of ... See full document

... Due to high elasticity of tendons, they assumed elastic and linear. According to the paper by Votta, 16 Mpa and 0.45 were intended for Yang modulus and Poisson ratio of tendons. The model is elastic and isotropic. With ... See full document

... with numerical modelling using both Finite element method and Finite difference method ( Plaxis2D and FLAC2D) and dynamic results have validated by using empirically by Giroud ... See full document