Results 41 to 50 of about 186 (123)

Adaptive Robust Nonlinear Optimal Sliding Mode Control for Wind Turbines: A Hybrid OHAM‐Based Approach to Maximize Power Capture

open access: yesIET 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
wiley   +1 more source

Memory‐efficient compression of 𝒟ℋ2‐matrices for high‐frequency Helmholtz problems

open access: yesNumerical 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
wiley   +1 more source

Space‐time stochastic Galerkin boundary elements for acoustic scattering problems

open access: yesInternational 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
wiley   +1 more source

A collocation method for a hypersingular boundary integral equation via trigonometric differentiation Rainer Kress

open access: yes, 2014
Revisiting the author's paper from 1995 on this topic, a fully discrete collocation method is proposed for the hypersingular integral equation arising from the double-layer approach for the solution of Neumann boundary value problems in two dimensions ...
Kress, Rainer
core   +1 more source

An Improved Boundary Element Method for Predicting Half‐Space Scattered Noise Combined with Permeable Boundaries

open access: yesAdvances 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
wiley   +1 more source

Peridynamic Model of Vibrations in a Two-Dimensional Periodic Structure

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki
Unlike classical continuum mechanics, where the linearized model is described by partial differential equations, the peridynamic model leads to an integro-differential equation with a non integrable kernel.
Yuldasheva, A.V.
doaj   +1 more source

A new method for solving hypersingular integral equations of the first kind

open access: yes, 2011
A simple and efficient method for solving hypersingular integral equations of the first kind in reproducing kernel spaces is developed. In order to eliminate the singularity of the equation, a transform is used.
Zhou, YongFang   +3 more
core   +1 more source

An approximation method for the hypersingular heat operator equation

open access: yes, 2000
The original model problem is the two-dimensional heat conduction problem with vanishing initial data and a given Neumann-type boundary condition. In particular, certain choices of the representation formula for the heat potential yield the hypersingular
Hamina, Martti, Martti Hamina
core   +1 more source

On the numerical solution of a hypersingular integral equation with fixed singularities

open access: yes, 2009
: For the numerical solution of the hypersingular integral equation of a notched half-plane problem we propose collocation methods which look for an approximation of the derivative of the solution of the original equation.
M. R. CAPOBIANCO   +2 more
core   +1 more source

High-order kernel regularization of singular and hypersingular Helmholtz boundary integral operators

open access: yesCoRR
This paper extends and analyzes the high-order kernel regularization framework of Beale & Tlupova (arXiv:2510.13639) to all four on-surface boundary integral operators of the Helmholtz Calderon calculus in three dimensions: the single-layer, double-layer, adjoint double-layer, and hypersingular operators.
Luiz M. Faria   +2 more
openaire   +2 more sources

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