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An Overview of Integration Methods for Hypersingular Boundary Integrals [PDF]

, 1991
Several methods of analyzing the hypersingular gradient BIE have been developed recently. This paper is a review highlighting the numerous common aspects and several differences among the methods. Significant common aspects include (a) a regularizaron of constant and linear terms, (b) analysis of integration points near rather than on the surface, and (
E. Lutz, L. J. Gray, A. R. Ingraffea
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Boundary Integral Equations Approach for a Scattering Problem of a TE-Wave on a Graphene-Coated Slab

Photonics
This paper focuses on a transmission problem describing the scattering of a TE-wave on a slab having an absolutely conducting wall at the bottom and covered with graphene at the top, accounting for the optical nonlinearity of graphene.
Yury Smirnov, Stanislav Tikhov
doaj   +1 more source

QUADRATURE FORMULAS WITH MULTIPLE NODES FOR THE HILBERT HYPERSINGULAR INTEGRAL

, 2020
334-336Для гиперсингулярного интеграла Гильберта построены и исследованы квадратурные формулы с кратными узлами.For the Hilbert hypersingular integral quadrature formulas with multiple nodes are constructed and ...
Солиев Ю.С.
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On the convergence of Galerkin method for solving hypersingular integral equations in special classes of functions

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. The numerical method for solving hypersingular integral equations on a segment that arise in many problems of mathematical physics is considered. Materials and methods.
Yu.G. Smirnov
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Analytical and numerical solutions of flow in and around a fracture within a porous media: Application to equivalent permeability estimation

Journal of Applied Science and Engineering
Equivalent permeability is the most important parameter to estimate the total flow transported by a fractured geological formation. The inclusion-based effective medium model has been widely used to estimate this parameter.
An Hai Nguyen
doaj   +1 more source

On the convergence of the hp-BEM with quasi-uniform meshes for the electric field integral equation on polyhedral surfaces

, 2008
In this paper the hp-version of the boundary element method is applied to the electric field integral equation on a piecewise plane (open or closed) Lipschitz surface. The underlying meshes are supposed to be quasi-uniform.
Bespalov, A, Heuer, N
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Numerical computation of hypersingular integrals on the real semiaxis

Applied Mathematics and Computation, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maria Carmela De Bonis, Donatella Occorsio   +1 more
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Inequalities for $\Lambda$-derivatives of functions defined on a metric space and some of their applications

Researches in Mathematics
We introduce a concept of a $\Lambda$-derivative operator, which is a certain generalization of hypersingular integral operators, which in turn are used in the definitions of the Marchaud and the Riesz fractional derivatives.
V. Babenko, V. Kolesnyk, O. Kovalenko, N. Parfinovych   +3 more
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Fast Approximation of Algebraic and Logarithmic Hypersingular Type Singular Integrals with Highly Oscillatory Kernel

International Journal of Analysis and Applications, 2020
Herein, highly oscillatory integrals with hypersingular type singularities are studied. After transforming the original integral into a sum of line integrals over a positive semi-infinite interval, a Gauss-related quadrature rule is constructed.
Idrissa Kayijuka, Şerife Müge Ege, Ali Konuralp, Fatma Serap Topal   +3 more
doaj  

Thermal Shock In Periodic Edge-Cracked Plate Supported By Elastic Foundation

International Islamic University Malaysia Engineering Journal, 2012
The study of the transient thermal stress problem for a periodic edge cracks in an elastic plate on an elastic foundations is investigated. This study may also be applied for circumferentially periodic cracked hollow cylinder under transient thermal ...
Abd El-Fattah A. Rizk
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