Approximation of acoustic waves by explicit Newmark's schemes and spectral element methods

Authors:
Elena Zampieri;Luca F. Pavarino
Affiliations:
Dipartimento di Matematica, Università di Milano, Milano, Italy;Dipartimento di Matematica, Università di Milano, Milano, Italy
Venue:
Journal of Computational and Applied Mathematics - Special issue: International workshop on the technological aspects of mathematics
Year:
2006

Citing 6
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Abstract

A numerical approximation of the acoustic wave equation is presented. The spatial discretization is based on conforming spectral elements, whereas we use finite difference Newmark's explicit integration schemes for the temporal discretization. A rigorous stability analysis is developed for the discretized problem providing an upper bound for the time step Δt. We present several numerical results concerning stability and convergence properties of the proposed numerical methods.