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Latest revision as of 17:16, 11 March 2021
Abstract
This paper presents an extended procedure for computation of integral representations of regular parts of Laplace domain three-dimensional dynamic anisotropic elastic full space displacement fundamental solutions and their spatial derivatives. The problem is that under specific conditions these integrals become highly oscillatory. For the modified integral expressions, we present a technique that utilizes specialized quadrature rule which in turn is a variation of well-known Levin's method for solving highly oscillatory integrals. Results of numerical investigations suggest improved performance (regarding number of integration points) compared to using the Gauss-Legendre quadrature.
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Published on 11/03/21
Submitted on 11/03/21
Volume 300 - Multiscale and Multiphysics Systems, 2021
DOI: 10.23967/wccm-eccomas.2020.060
Licence: CC BY-NC-SA license
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