Results 151 to 160 of about 1,823 (241)

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14122-14148, August 2026.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Framework for X-ray mirror surface shape fitting. [PDF]

J Synchrotron Radiat
Huang L, Xu R, Wang T, Yamada J, Dvorak J, Austin C, Eeckhout AV, Roman JN, Goldberg K, Idir M.   +9 more
europepmc   +1 more source

A Coupled Extended Finite Element–Cohesive Zone Model for Hydraulic Fracture Propagation Under Poroelastic Effects Across Different Propagation Regimes

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 11, Page 4518-4540, 10 August 2026.
ABSTRACT Numerical simulation of hydraulic fracturing remains challenging due to the strong coupling between geomechanics and fluid flow when modelling multiple physical mechanisms of rock deformation, fracture evolution and fluid leak‐off. This study develops a coupled hydraulic fracture propagation framework that combines the extended finite element ...
Ran Tao, Juliana Y. Leung, Samer Adeeb
wiley   +1 more source

Matrix-Free Inexact Preconditioning Techniques for Isogeometric Tensor-Product Discretizations. [PDF]

J Sci Comput
Mika MŁ, Hiemstra RR, Schillinger D.
europepmc   +1 more source

General Variational Formulation of Axisymmetric Capillary Bridges: Modeling Contact Angle Hysteresis and Capillary Forces

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 12, Page 4879-4892, 25 August 2026.
ABSTRACT This work presents a general framework for deriving the Young–Laplace equation and the Young's equations for an axisymmetric capillary bridge between two parallel plates by minimizing the system's total energy. These Young's equations naturally emerge as boundary conditions associated with the Young–Laplace equation.
Olivier Millet, Antoine Moreau, Antoine Logerot, Marc Médale   +3 more
wiley   +1 more source

Constructing optical soliton wave structure and modulation instability analysis for coupled fractional Lakshmanan-Porsezian-Daniel equation with Kerr's law nonlinearity. [PDF]

Sci Rep
Aghazadeh A, Lakestani M.
europepmc   +1 more source

Perturbative Analytical Construction of Bowen–York Initial Data for Binary Black Holes up to Third Order in Spin and Linear Momentum

Fortschritte der Physik, Volume 74, Issue 8, August 2026.
ABSTRACT We analytically construct initial data for binary black hole systems by solving the Einstein constraint equations within the Bowen–York framework. Allowing for arbitrarily oriented linear momenta and spins, we obtain a perturbative solution of the vacuum Hamiltonian constraint up to third order in the source parameters. Our solution explicitly
Leyla Ogurol, Tore Boybeyi, Bayram Tekin
wiley   +1 more source

An optimized elliptic curve digital signature strategy for resource-constrained devices. [PDF]

Sci Rep
Sabbry NH, Levina A.
europepmc   +1 more source

Learning Vertical Coordinates via Automatic Differentiation of a Dynamical Core

Journal of Advances in Modeling Earth Systems, Volume 18, Issue 8, August 2026.
Abstract Terrain‐following coordinates in atmospheric models often imprint their grid structure onto the solution, particularly over steep topography, where distorted coordinate layers can generate spurious horizontal and vertical motion. Standard formulations, such as hybrid or SLEVE coordinates, mitigate these errors by using analytic decay functions
Tim Whittaker, Seth Taylor, Elsa Cardoso‐Bihlo, Alejandro Di Luca, Alex Bihlo   +4 more
wiley   +1 more source

An optimal Petrov-Galerkin framework for operator networks. [PDF]

Comput Methods Appl Mech Eng
Charles P, Ray D, Yu Y, Prins J, Melchers H, Abdelmalik MRA, Cochran J, Oberai AA, Hughes TJR, Larson MG.   +9 more
europepmc   +1 more source