We study the numerical dispersion/dissipation of Triangle-based Spectral Element Methods (T SEM) of order N ≥ 1 when coupled with the Leap-Frog (LF) finite difference scheme to simulate the elastic wave propagation over an unstructured triangulation of the 2D physical domain. The analysis relies on the discrete eigenvalue problem resulting from the approximation of the dispersion relation. We present dispersion graphs by varying the approximation polynomial degree, the number of discrete points per wavelength and the time step. Numerical results for the T SEM-LF are compared with those of the LF coupled to the classical Quadrangle-based Spectral Element Method (QSEM)
If the nodes for the spectral element method are chosen to be the Gauss-Legendre-Lobatto points and ...
International audiencePeriodic structures exhibit very specific properties in terms of wave propagat...
The Spectral-Element Method (SEM) is a finite-element method that solves the wave equa-tion in the t...
We study the numerical dispersion/dissipation of Triangle-based Spectral Element Methods (T SEM) of...
International audienceWe study the numerical dispersion/dissipation of a triangle-based edge Finite ...
International audienceA Triangular Spectral Element Method (TSEM) is presented to simulate elastic w...
We apply a spectral element method based upon a conforming mesh of quadrangles and triangles to the ...
AbstractThe DFT modal analysis is a dispersion analysis technique that transforms the equations of a...
A numerical dispersion analysis for the finite-element (FE) method in time domain (TD) is presented....
We analyse the dispersion properties of two types of explicit finite element methods for modelling a...
The spatial discretization of continuum by finite element method introduces the dispersion error to...
We study the dispersive properties of the acoustic wave equation for finite element, spectral elemen...
International audienceIn the last decade, the Spectral Element Method (SEM) has become a popular alt...
In this paper we present a three dimensional dispersion and dissipation analysis for both the semi ...
If the nodes for the spectral element method are chosen to be the Gauss-Legendre-Lobatto points and ...
International audiencePeriodic structures exhibit very specific properties in terms of wave propagat...
The Spectral-Element Method (SEM) is a finite-element method that solves the wave equa-tion in the t...
We study the numerical dispersion/dissipation of Triangle-based Spectral Element Methods (T SEM) of...
International audienceWe study the numerical dispersion/dissipation of a triangle-based edge Finite ...
International audienceA Triangular Spectral Element Method (TSEM) is presented to simulate elastic w...
We apply a spectral element method based upon a conforming mesh of quadrangles and triangles to the ...
AbstractThe DFT modal analysis is a dispersion analysis technique that transforms the equations of a...
A numerical dispersion analysis for the finite-element (FE) method in time domain (TD) is presented....
We analyse the dispersion properties of two types of explicit finite element methods for modelling a...
The spatial discretization of continuum by finite element method introduces the dispersion error to...
We study the dispersive properties of the acoustic wave equation for finite element, spectral elemen...
International audienceIn the last decade, the Spectral Element Method (SEM) has become a popular alt...
In this paper we present a three dimensional dispersion and dissipation analysis for both the semi ...
If the nodes for the spectral element method are chosen to be the Gauss-Legendre-Lobatto points and ...
International audiencePeriodic structures exhibit very specific properties in terms of wave propagat...
The Spectral-Element Method (SEM) is a finite-element method that solves the wave equa-tion in the t...