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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 42
ADVANCES IN COMPUTATIONAL METHODS FOR SIMULATION
Edited by: B.H.V. Topping
Paper V.1

Consistent Infinitesimal Finite-Element Cell Method in Frequency Domain

J.P. Wolf and C. Song

Institute of Hydraulics and Energy, Department of Civil Engineering, Swiss Federal Institute of Technology, Lausanne, Switzerland

Full Bibliographic Reference for this paper
J.P. Wolf, C. Song, "Consistent Infinitesimal Finite-Element Cell Method in Frequency Domain", in B.H.V. Topping, (Editor), "Advances in Computational Methods for Simulation", Civil-Comp Press, Edinburgh, UK, pp 149-164, 1996. doi:10.4203/ccp.42.5.1
Abstract
To calculate the dynamic-stiffness matrix at the structure-medium interface of an unbounded medium for the range of frequencies of interest, the consistent infinitesimal finite-element cell method based on finite elements is developed for wave propagation. The derivation makes use of similarity and finite-element assemblage, yielding a nonlinear first-order ordinary differential equation in frequency. The asymptotic expansion for high frequency yields the boundary condition satisfying the radiation condition. In an application only the structure-medium interface is discretized resulting in a reduction of the spatial dimension by one. The boundary condition on the free surface is satisfied automatically. The consistent infinitesimal finite-element cell method is exact in the radial direction and converges to the exact solution in the finite-element sense in the circumferential directions. The extension to the diffusion equation is also discussed. Excellent accuracy results.

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