Results 61 to 70 of about 145 (135)
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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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 +1 more
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Approximate solution for a class of hypersingular integral equations
Applied Mathematics Letters, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Birendra Nath Mandal, G. H. Bera
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Mathematical Foundations of Adaptive Isogeometric Analysis. [PDF]
Arch Comput Methods Eng, 2022 Buffa A +4 more
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Active thermal cloaking and mimicking. [PDF]
Proc Math Phys Eng Sci, 2021 Cassier M +3 more
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Exact Solution of a Simple Hypersingular Integral Equation [PDF]
Journal of Integral Equations and Applications, 1992 The author considers in a Hölder type space the following linear hypersingular integral equation \(Hf=v\), where \[ \begin{multlined} (Hf)(x)=\int^ 1_{-1}(x-t)^{-2}f(t)dt:=\\ =\lim_{\varepsilon\to 0}\left\{\int^{x-\varepsilon}_{-1}(x-t)^{-2}f(t)dt+\int^ 1_{x+\varepsilon} (x-t)^{-2}f(t)dt+-2\varepsilon^{- 1}f(x)\right\},\quad x\in(-1,1).\end{multlined} \
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Galerkin BEM with Direct Evaluation of Hypersingular Integrals
Electronic Journal of Boundary Elements, 2007 In this paper a new general algorithm is presented for the direct evaluation of all singular double integrals arising in the 2D Galerkin BEM, including those with hypersingular kernels. A distinguishing feature of the proposed method is that double singular integrals are treated as a whole, that is not as inner integrals followed by outer ones ...
MARC BONNET, GUIGGIANI, MASSIMO
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On the numerical calculation of Hadamard finite-part integrals
Le Matematiche, 1998 In this paper we consider a simple method for calculating integrals possessing strong singularities, to be interpreted in the Hadamard finite-part sense.
Ezio Venturino
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Advanced materials modelling via fractional calculus: challenges and perspectives. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Failla G, Zingales M.
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Theory of hyper-singular integrals and its application to the Navier-Stokes problem [PDF]
Contributions to Mathematics, 2020 Alexander G. Ramm
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