Results 21 to 30 of about 79 (73)
Influence of Form and Structural Features of Open‐Cell Hybrid Foam on the Remanent Magnetic Scanning
Advanced Engineering Materials, Volume 27, Issue 12, June 2025.Simulations using an equivalent model are performed to improve the understanding of remanent magnetic scanning of hybrid foam samples for coating thickness estimation. The model allows to study the influence of isolated geometrical features such as layer thickness, boundary effects, as well as effects due to the statistical nature of the foams, which ...
Bashar Ibrahim +4 more
wiley +1 more source
Monolithic Newton‐Multigrid Finite Element Methods for the Simulation of Thixoviscoplastic Flows
International Journal for Numerical Methods in Fluids, Volume 97, Issue 4, Page 565-604, April 2025.ABSTRACT In this paper, we shall be concerned with the development, application, and numerical analysis of the monolithic Newton‐Multigrid finite element method (FEM) to simulate thixoviscoplastic (TVP) flows. We demonstrate the importance of robustness and efficiency of Newton‐Multigrid FEM solver for obtaining accurate solutions.
Naheed Begum +2 more
wiley +1 more source
Variational approach to multimode nonlinear optical fibers
Nanophotonics, Volume 14, Issue 6, Page 805-813, April 2025.Abstract We analyze the spatiotemporal solitary waves of a graded‐index multimode optical fiber with a parabolic transverse index profile. Using the nonpolynomial Schrödinger equation approach, we derive an effective one‐dimensional Lagrangian associated with the Laguerre–Gauss modes with a generic radial mode number p and azimuthal index m.
Francesco Lorenzi, Luca Salasnich
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Advances in Civil Engineering, Volume 2025, Issue 1, 2025.This paper presents a novel method for deriving shape functions of a nine‐node rectangular element based on solving the steady‐state heat conduction equation. Unlike traditional methods using Lagrange polynomials, this approach utilizes a linear combination of temperature distribution (TD) coefficients to extract second‐order shape functions for a one ...
Ramin Tabatabaei Mirhosseini +2 more
wiley +1 more source
Investigating the Influence of Petrophysical Parameter in Gravel Packing Sand Control Applications
Geofluids, Volume 2025, Issue 1, 2025.Gravel packing is a primary method for sand control in hydrocarbon wells, with its effectiveness primarily governed by gravel particle size and packing structure. Current gravel packing designs primarily rely on empirical engineering experience, while rock physics models for quantifying gravel packing permeability remain underdeveloped.
Jin Dai +8 more
wiley +1 more source
Criterion for Class Number of the Family Q254m2+m to be Greater Than or Equal to Three
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we present an explicit lower bound for the class number of real quadratic field k=QD, where D = 25m2 + 4m is a square‐free integer and m ≡ 4 (mod 5) is an odd positive integer.
Ahmad Issa, Huadong Su
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A rational‐Chebyshev projection method for nonlinear eigenvalue problems
Numerical Linear Algebra with Applications, Volume 31, Issue 6, December 2024.Abstract This article describes a projection method based on a combination of rational and polynomial approximations for efficiently solving large nonlinear eigenvalue problems. In a first stage the nonlinear matrix function T(λ)$$ T\left(\lambda \right) $$ under consideration is approximated by a matrix polynomial in λ$$ \lambda $$.
Ziyuan Tang, Yousef Saad
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Zero‐curvature subconformal structures and dispersionless integrability in dimension five
Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.Abstract We extend the recent paradigm “Integrability via Geometry” from dimensions 3 and 4 to higher dimensions, relating dispersionless integrability of partial differential equations to curvature constraints of the background geometry. We observe that in higher dimensions on any solution manifold, the symbol defines a vector distribution equipped ...
Boris Kruglikov, Omid Makhmali
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Numerical Methods for Partial Differential Equations, Volume 40, Issue 6, November 2024.Abstract In this article, we present a formally fourth‐order accurate hybrid‐variable (HV) method for the Euler equations in the context of method of lines. The HV method seeks numerical approximations to both cell averages and nodal solutions and evolves them in time simultaneously; and it is proved in previous work that these methods are ...
Xianyi Zeng
wiley +1 more source
Variational formulation and monolithic solution of computational homogenization methods
International Journal for Numerical Methods in Engineering, Volume 125, Issue 20, 30 October 2024.Abstract In this contribution, we derive a consistent variational formulation for computational homogenization methods and show that traditional FE 2$$ {}^2 $$ and IGA 2$$ {}^2 $$ approaches are special discretization and solution techniques of this most general framework.
Christian Hesch +2 more
wiley +1 more source