Results 41 to 50 of about 614 (179)
Solving the hypersingular boundary integral equation for the Burton and Miller formulation [PDF]
, 2015 International audienceThis paper presents an easy numerical implementation of the Burton and Miller (BM) formulation, where the hypersingular Helmholtz integral is regularized by identities from the associated Laplace equation and thus needing only the ...
Alexandre Garcia +5 more
core +1 more source
Explicit solution of one hypersingular integro-differential equation of the second order
Журнал Белорусского государственного университета: Математика, информатика, 2019 The linear equation on the curve located on the complex plane is studied. The equation contains the desired function, its derivatives of the first and second orders, as well as hypersingular integrals with the desired function.
Andrei P. Shilin
doaj +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
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
wiley +1 more source
Convergence of simple adaptive Galerkin schemes based on h − h/2 error estimators [PDF]
, 2008 We discuss several adaptive mesh-refinement strategies based on (h − h/2)-error estimation. This class of adaptivemethods is particularly popular in practise since it is problem independent and requires virtually no implementational overhead.
Ortner, C. +7 more
core +1 more source
Thermal Shock In Periodic Edge-Cracked Plate Supported By Elastic Foundation
International Islamic University Malaysia Engineering Journal, 2012 The study of the transient thermal stress problem for a periodic edge cracks in an elastic plate on an elastic foundations is investigated. This study may also be applied for circumferentially periodic cracked hollow cylinder under transient thermal ...
Abd El-Fattah A. Rizk
doaj +1 more source
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
wiley +1 more source