Results 21 to 30 of about 121 (115)
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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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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Hypersingular Integral Equations for Crack Problems
, 1989 The investigation of scattering of waves by cracks in an elastic medium and by thin scatterers in an acoustic medium, via analytical and experimental methods, seems to be of continuing importance to nondestructive evaluation. On the analytical side, formulation and numerical solution of crack scattering problems using boundary integral equations is ...
Krishnasamy, G. +3 more
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A Nitsche-based domain decomposition method for hypersingular integral equations [PDF]
Numerische Mathematik, 2012 21 pages, 5 ...
Franz Chouly, Norbert Heuer
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On the Convergence Problem of One-Dimensional Hypersingular Integral Equations [PDF]
Mathematical Problems in Engineering, 2013 Summary: We develop the expansion method of singular integral equation (SIE) for hypersingular integral equation (HSIE). Relating the hypersingular integrals to Cauchy principal-value integrals, we interpolate the kernel and the density functions to the truncated Chebyshev series of the second kind.
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Solution of a hypersingular integral equation in two disjoint intervals
Applied Mathematics Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barnali Dutta, Sudeshna Banerjea
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Integral equations with hypersingular kernels––theory and applications to fracture mechanics [PDF]
International Journal of Engineering Science, 2003 Hypersingular integrals of the type $I_α(T_n,m,r) = \int_{-1}^{1} \hpsngAbs \frac{T_n(s)(1-s^2)^{m-{1/2}}}{(s-r)^α}ds |r|<1$ and $I_α(U_n,m,r) = \int_{-1}^{1} \hpsngAbs \frac{U_n(s)(1-s^2)^{m-{1/2}}}{(s-r)^α}ds |r|<1$ are investigated for general integers $α$ (positive) and $m$ (non-negative), where $T_n(s)$ and $U_n(s)$ are the Tchebyshev ...
Chan, Youn-Sha +2 more
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REAL AND COMPLEX HYPERSINGULAR INTEGRALS AND INTEGRAL EQUATIONS IN COMPUTATIONAL MECHANICS*
Demonstratio Mathematica, 1995 The paper contains some general comments on the history, the origin and the importance of hypersingular integrals as well as on some basic principles to handle them. Priority is given to the philosophy rather than to the details. Special emphasis is put on the method of introducing complex variables and on the interface problems in elasticity.
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