Results 11 to 20 of about 121 (115)
IET Microwaves, Antennas &Propagation, Volume 15, Issue 10, Page 1159-1170, 12 August 2021., 2021 Abstract Considered is the plane‐wave scattering from and absorption by a thin circular dielectric disk. The analysis uses a set of the singular integral equations for the effective electric and magnetic currents, derived using the generalized boundary conditions on the disk median section.
Mario Lucido +2 more
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A generalized method for scattering from wide cavities with specified wave functions
IET Microwaves, Antennas &Propagation, Volume 15, Issue 1, Page 69-79, 8 January 2021., 2021 Abstract This study developed a generalized solution based on modal expansion for scattering by large cavities with known wave functions placed in an infinite perfect electric plane. Under the assumption of a large cavity, to reduce simulation time and simplify expressions, the half‐space above cavity with a strong singular Green's function is ...
Mehdi Bozorgi
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A Quadrature Method for the Hypersingular Integral Equation on an Interval [PDF]
Journal of Integral Equations and Applications, 1995 Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
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Guest Editorial: Method of analytical regularisation for new frontiers of applied electromagnetics
, 2021 IET Microwaves, Antennas &Propagation, Volume 15, Issue 10, Page 1127-1132, 12 August 2021.
Mario Lucido +4 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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BPX Preconditioner for Hypersingular Integral Equations
Journal of Integral Equations and Applications, 1998 The BPX preconditioner [cf. \textit{J. H. Bramble, J. E. Pasciak} and \textit{J. Xu}, Math. Comput. 55, No. 191, 1-22 (1990; Zbl 0703.65076)] for the Galerkin approximation of hypersingular integral equations is presented. The condition number of the preconditioned matrix is shown to behave as \(O(h^{-\varepsilon})\) where \(\varepsilon\) is small and ...
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Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
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International Journal for Numerical and Analytical Methods in Geomechanics, Volume 49, Issue 17, Page 4054-4075, 10 December 2025.ABSTRACT We compare two algorithms to simulate the propagation, arrest, recession, and closure of a planar hydraulic fracture, focusing on their ability to capture the physical processes governing fracture recession and closure. The first algorithm is based on a fixed grid with contact detection during recession, while the second is based on a moving ...
Mohsen Talebkeikhah +4 more
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Fractional Q$Q$‐curvature on the sphere and optimal partitions
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We study an optimal partition problem on the sphere, where the cost functional is associated with the fractional Q$Q$‐curvature in terms of the conformal fractional Laplacian on the sphere. By leveraging symmetries, we prove the existence of a symmetric minimal partition through a variational approach. A key ingredient in our analysis is a new
Héctor A. Chang‐Lara +2 more
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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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