Results 31 to 40 of about 1,219,987 (236)
ON SOLUBILITY OF HYPERSINGULAR INTEGRAL EQUATIONS
University proceedings. Volga region. Physical and mathematical sciences, 2016 I. Boykov
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Axioms, 2022 The article is devoted to the issue of construction of an optimal with respect to order passive algorithms for evaluating Cauchy and Hilbert singular and hypersingular integrals with oscillating kernels.
Ilya Boykov +2 more
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Mathematical Modelling and Analysis, 2023 A complete hypersingular integral equation of the second kind was obtained as a boundary integral equation for the diffraction and scattering problem of electromagnetic waves in space separated by the periodically placed non-perfectly conducting strips.
Oleksii V. Kostenko
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Regular, Singular and Hypersingular Integrals over Fractal Contours
Mathematics, 2023 The paper is devoted to the approximate calculation of Riemann definite integrals, singular and hypersingular integrals over closed and open non-rectifiable curves and fractals.
Ilya Boykov +2 more
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IET Microwaves, Antennas &Propagation, Volume 17, Issue 4, Page 301-312, March 2023., 2023 The modal analysis of rectangular dielectric resonators are addressed using different combined surface integral equations (T‐Muller, N‐Muller, PMCHWT, and TENENH). All developed formulations are discretised through the method of moments with rooftop basis functions over flat quadrilaterals represented as bilinear surfaces, with razor‐blade functions ...
Moein Nazari +3 more
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Вісник Харківського національного університету імені В.Н. Каразіна. Серія: Математичне моделювання, інформаційні технології, автоматизовані системи управління, 2021 For studying the vibration frequencies and modes of structural elements that operate in interaction with a liquid, an approach has been proposed. The approach is based on coupled usage of finite and boundary element methods. For description the motion of
Іван Вєрушкін +1 more
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Hypersingular integrals at a corner [PDF]
Engineering Analysis with Boundary Elements, 1993 Abstract For a smooth boundary, hypersingular integrals can be defined as a limit from the interior, the approach direction being taken, for convenience, normal to the surface. At a boundary corner, the limit process, with a necessarily non-normal approach direction, provides a valid definition of the hypersingular equation, as long as the same ...
Gray, L. J., Manne, L. L.
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Journal of Geophysical Research: Solid Earth, Volume 128, Issue 2, February 2023., 2023 Abstract Geothermal energy, featured as a renewable low‐carbon energy resource, exhibits great potential in mitigating global warming. However, efficient mining of geothermal energy from hot dry rock remains challenging due to the lack of a thermoporoelastic modeling approach that allows for integrated simulation of hydrofracturing and fluid ...
Sanbai Li, Dongxiao Zhang
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Windowed Green function method for wave scattering by periodic arrays of 2D obstacles
Studies in Applied Mathematics, Volume 150, Issue 1, Page 277-315, January 2023., 2023 Abstract This paper introduces a novel boundary integral equation (BIE) method for the numerical solution of problems of planewave scattering by periodic line arrays of two‐dimensional penetrable obstacles. Our approach is built upon a direct BIE formulation that leverages the simplicity of the free‐space Green function but in turn entails evaluation ...
Thomas Strauszer‐Caussade +3 more
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Nonlocal field theory of quasiparticle scattering in dipolar Bose-Einstein condensates
SciPost Physics Core, 2023 We consider the propagation of quasiparticle excitations in a dipolar Bose-Einstein condensate, and derive a nonlocal field theory of quasiparticle scattering at a stepwise inhomogeneity of the sound speed, obtained by tuning the contact coupling ...
Caio C. Holanda Ribeiro, Uwe R. Fischer
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