Results 21 to 30 of about 145 (135)
On evaluation of influence coefficients for edge and intermediate boundary elements in 3D problems involving strong field concentrations [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2019 The paper presents a tool for accurate evaluation of high field concentrations near singular lines, such as contours of cracks, notches and grains intersections, in 3D problems solved the BEM. Two types of boundary elements, accounting for singularities,
L. Rybarska-Rusinek
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Mathematics, 2022 A localized virtual boundary element–meshless collocation method (LVBE-MCM) is proposed to solve Laplace and Helmholtz equations in complex two-dimensional (2D) geometries.
Xingxing Yue +3 more
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Hypersingular integrals and parabolic potentials [PDF]
Transactions of the American Mathematical Society, 1981 In this paper we characterize the potential spaces associated with the heat equation in terms of singular integrals of mixed homogeneity.
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A product integration rule for hypersingular integrals on (0,+∞) [PDF]
ETNA - Electronic Transactions on Numerical Analysis, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MARIA CARMELA DE BONIS +1 more
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Complete Cubic Polynomial Transformation for Regularizing Nearly Hypersingular Integrals [PDF]
Journal of Applied and Computational MechanicsA classical problem in computational mechanics is the quadrature of nearly singular and hypersingular integrals, such as those that arise in the boundary element method (BEM) when the collocation point is near the integration element.
Juan Granados, Rafael Gallego
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Extrapolations for hypersingular integrals [PDF]
SCIENTIA SINICA Mathematica, 2015 By using the mildpoint trapezoidal rule a generalized Euler-Maclaurin expansion for computing Hadamard finite part values of the hypersingular integrals with a singular point on the inteval interior is shown, where there are some negative exponential terms of the step size in the expansion. It means that the rule is divergent.
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Solution of one hypersingular integro-differential equation defined by determinants
Журнал Белорусского государственного университета: Математика, информатика, 2021 The paper provides an exact analytical solution to a hypersingular inregro-differential equation of arbitrary order. The equation is defined on a closed curve in the complex plane.
Andrei P. Shilin
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Numerical methods of computation of singular and hypersingular integrals
International Journal of Mathematics and Mathematical Sciences, 2001 In solving numerous problems in mathematics, mechanics, physics, and technology one is faced with necessity of calculating different singular integrals. In analytical form calculation of singular integrals is possible only in unusual cases.
I. V. Boikov
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Guest Editorial: Method of analytical regularisation for new frontiers of applied electromagnetics
, 2021 IET Microwaves, Antennas &Propagation, Volume 15, Issue 10, Page 1127-1132, 12 August 2021.
Mario Lucido +4 more
wiley +1 more source
Regularized Integral Representations of the Reciprocal Gamma Function
Fractal and Fractional, 2019 This paper establishes a real integral representation of the reciprocal Gamma function in terms of a regularized hypersingular integral along the real line. A regularized complex representation along the Hankel path is derived.
Dimiter Prodanov
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