Numerical analysis of systems of singular integral equations of the first kind with an indefinable index in the problem of the diffraction of plane waves on a rigid inclusion / Panchenko, / Kovalev, / Saiko. (2020)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2020, 56 (4))

Panchenko B.E., Kovalev Y.D., Saiko I.N.
Numerical analysis of systems of singular integral equations of the first kind with an indefinable index in the problem of the diffraction of plane waves on a rigid inclusion

By reducing the systems of singular integral equations (SIE) to two types, we carry out a numerical analysis of the problem of mathematical physics about interaction of stationary plane strain waves with a rigid inclusion (cavity with a clamped contour) located in an infinite isotropic elastic medium. The problem is solved using the systems of SIEs of the 1st and 2nd kinds, where the latter has an indefinable index. The conditionality of the models is analyzed using cluster high-precision computational schemes. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: condition number, diffraction of plane waves, equation index, numerical experiment, rigid inclusion (cavity with a clamped contour), singular integral equations, Numerical analysis, Strain, Computational schemes, High-precision, Isotropic elastic medium, Mathematical physics, Plane strains, Plane wave, Rigid inclusion, Systems of singular integral equations, Integral equations


Cite:
Panchenko B.E., Kovalev Y.D., Saiko I.N. (2020). Numerical analysis of systems of singular integral equations of the first kind with an indefinable index in the problem of the diffraction of plane waves on a rigid inclusion. Cybernetics and Systems Analysis, 56 (4), 3–17. doi: https://doi.org/10.1007/s10559-020-00268-z http://jnas.nbuv.gov.ua/article/UJRN-0001129989 [In Russian].


 

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