2013
DOI: 10.1007/s10559-013-9495-2
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Framework analysis of the object domain of stationary dynamic problems of the elasticity theory for isotropic media with arbitrary discontinuities

Abstract: A general scheme of framework analysis of an object domain is considered. The domain involves a wide class of problems of the theory of dynamic elasticity, which allows one to develop a software tool for the synthesis of applications (a CASE method) of parallel high-precision numerical solution of this class of problems. This article proposes a scheme of parallel high-precision solution to systems of singular integral equations that occur in the analysis of certain problems of diffraction of elastic harmonic w… Show more

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Cited by 2 publications
(5 citation statements)
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“…As the numerical analysis has shown, in case of action from infinity of P-and SV-waves the saturation effect [9] is also observed in the described system; however, not strictly (as well as in [5,10]). And although no more than 20 reflectors are enough for the averaged analysis in case of linear and symmetric (with respect to the load) arrangement of geometrically identical holes, minor pulsations are observed if their number increases.…”
Section: Substituting (10) Into Integrals With Singular Kernels Yieldsmentioning
confidence: 89%
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“…As the numerical analysis has shown, in case of action from infinity of P-and SV-waves the saturation effect [9] is also observed in the described system; however, not strictly (as well as in [5,10]). And although no more than 20 reflectors are enough for the averaged analysis in case of linear and symmetric (with respect to the load) arrangement of geometrically identical holes, minor pulsations are observed if their number increases.…”
Section: Substituting (10) Into Integrals With Singular Kernels Yieldsmentioning
confidence: 89%
“…As well as in [3][4][5][6], formula (12) corresponds to the rule of approximate calculation of regular integrals (11). Therefore, in the numerical implementation of singular integrals, the Hilbert kernel was not selected.…”
Section: Substituting (10) Into Integrals With Singular Kernels Yieldsmentioning
confidence: 99%
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