Solving the Homogeneous Isotropic Linear Elastodynamics Equations Using Potentials and Finite Elements. The Case of the Rigid Boundary Condition

Abstract : In this article, elastic wave propagation in a homogeneous isotropic elastic medium with rigid boundary is considered. A method based on the decoupling of pressure and shear waves via the use of scalar potentials is proposed. This method is adapted to a finite elements discretization, which is discussed. A stable, energy preserving numerical scheme is presented, as well as 2D numerical results.
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Submitted on : Thursday, July 12, 2012 - 10:04:46 AM
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Aliénor Burel, Sébastien Imperiale, Patrick Joly. Solving the Homogeneous Isotropic Linear Elastodynamics Equations Using Potentials and Finite Elements. The Case of the Rigid Boundary Condition. Numerical Analysis and Applications, Springer, 2012, 5 (2), pp.136-143. ⟨10.1134/S1995423912020061⟩. ⟨hal-00717160⟩

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