Abstract For the analysis of wave propagation at high frequencies, the spectral finite element method is under investigation. In contrast to the conventional finite element method, high-order shape functions are used. They are composed of Lagrange polynomials with nodes at the Gauss–Lobatto–Legendre points. The Gauss–Lobatto–Legendre integration scheme is applied in order to obtain a diagonal mass matrix. The resulting system equations can be solved efficiently. In the numerical examples, spectral finite elements with shape functions of different order are applied to a plane strain problem. The numerical examples cover structures without and with stiffness discontinuities. It is shown that the results agree well with analytical and experimental solutions.
Numerical simulation of wave propagation using spectral finite elements
CEAS Aeronautical Journal ; 4 , 1
2013
Article (Journal)
English
Numerical simulation of wave propagation using spectral finite elements
Springer Verlag | 2013
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