Numerical analysis of systems of singular integral equations of the first kind with an indefinable index in the problem of diffraction of plane waves on a rigid inclusion. (English. Russian original) Zbl 1461.65273
Cybern. Syst. Anal. 56, No. 4, 521-533 (2020); translation from Kibern. Sist. Anal. 2020, No. 4, 3-17 (2020).
Summary: 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.
Keywords:
singular integral equations; equation index; condition number; numerical experiment; diffraction of plane waves; rigid inclusion (cavity with a clamped contour)References:
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