Results 41 to 50 of about 145 (135)
IEEE Access, 2017 This paper presents the modified quadrature rules for 1-D hypersingular integrals, and then constructs the quadrature formulas to numerically evaluate multi-dimensional hypersingular integrals in the form of f .p. f.Ω g(x)/(Πi=1s |xi-ti|1+&#
Yanying Ma, Jin Huang, Changqing Wang
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Kinematic Representations of Viscoelastic Postseismic Deformation
Earth and Space Science, Volume 12, Issue 8, August 2025.Abstract Following large earthquakes, viscoelastic stress relaxation may contribute to postseismic deformation observed at Earth's surface. Mechanical representations of viscoelastic deformation require a constitutive relationship for the lower crust/upper mantle material where stresses are diffused and, for non‐linear rheologies, knowledge of absolute
John P. Loveless, Brendan J. Meade
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IET Renewable Power Generation, Volume 19, Issue 1, January/December 2025.In this article, we propose an adaptive robust nonlinear optimal sliding mode control using the optimal homotopy asymptotic method (RNOSC‐OHAM) for maximizing wind power capture. Because of the unstable nature of the wind and the presence of uncertainties and disturbances in the structure of the wind turbine, the optimal controller cannot provide ...
Arefe Shalbafian +2 more
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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 +3 more
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The Modified Trapezoidal Rule for Computing Hypersingular Integral on Interval
Journal of Applied Mathematics, 2013 The modified trapezoidal rule for the computation of hypersingular integrals in boundary element methods is discussed. When the special function of the error functional equals zero, the convergence rate is one order higher than the general case.
Jin Li, Xiuzhen Li
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Osaka Journal of Mathematics, 1990 The author extends results of \textit{E. M. Stein} [Singular integrals and differentiability properties of functions (1970; Zbl 0207.13501)] and \textit{R. L. Wheeden} [Trans. Am. Math. Soc. 139, 37-53 (1969; Zbl 0175.14502)] concerning hypersingular integrals.
openaire +4 more sources
Memory‐efficient compression of 𝒟ℋ2‐matrices for high‐frequency Helmholtz problems
Numerical Linear Algebra with Applications, Volume 31, Issue 6, December 2024.Abstract Directional interpolation is a fast and efficient compression technique for high‐frequency Helmholtz boundary integral equations, but requires a very large amount of storage in its original form. Algebraic recompression can significantly reduce the storage requirements and speed up the solution process accordingly.
Steffen Börm, Janne Henningsen
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Space‐time stochastic Galerkin boundary elements for acoustic scattering problems
International Journal for Numerical Methods in Engineering, Volume 125, Issue 15, 15 August 2024.Summary Acoustic emission or scattering problems naturally involve uncertainties about the sound sources or boundary conditions. This article initiates the study of time domain boundary elements for such stochastic boundary problems for the acoustic wave equation.
Heiko Gimperlein +2 more
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Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.The boundary element method is widely used in practical engineering problems, especially in the field of acoustics. For flow‐induced noise, the main target of acoustic calculations is to solve the wave equation with the flow field information. However, the sound field distribution of noncompact structures in half‐space is especially complex because of ...
Wensi Zheng +2 more
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Asymptotic expansions of the error for hyper-singular integrals with an interval variable
Journal of Inequalities and Applications, 2016 In this paper, we present high accuracy quadrature formulas for hyper-singular integrals ∫ a b g ( x ) q α ( x , t ) d x $\int_{a}^{b}g(x)q^{\alpha}(x,t)\, dx$ , where q ( x , t ) = | x − t | $q(x,t)=|x-t|$ (or x − t $x-t$ ), t ∈ ( a , b ) $t\in(a,b ...
Chong Chen, Jin Huang, Yanying Ma
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