Results 61 to 70 of about 12,056 (269)

Rayleigh-Ritz majorization error bounds with applications to FEM [PDF]

open access: yes, 2009
The Rayleigh-Ritz (RR) method finds the stationary values, called Ritz values, of the Rayleigh quotient on a given trial subspace as approximations to eigenvalues of a Hermitian operator $A$.
Argentati, Merico E., Knyazev, Andrew V.
core   +1 more source

Stabilized Krylov Subspace Recurrences via Randomized Sketching

open access: yesNumerical Linear Algebra with Applications, Volume 32, Issue 3, June 2025.
ABSTRACT Recurrences building orthonormal bases for polynomial Krylov spaces have been classically used for approximation purposes in various numerical linear algebra contexts. Variants aiming to limit memory and computational costs by using truncated recurrences often have convergence constraints.
Valeria Simoncini, YiHong Wang
wiley   +1 more source

Rayleigh-Ritz Calculation of Effective Potential Far From Equilibrium

open access: yes, 1996
We demonstrate the utility of a Rayleigh-Ritz scheme recently proposed to compute the nonequilibrium effective potential nonperturbatively in a strong noise regime far from equilibrium.
A. Crisanti   +22 more
core   +1 more source

Modelling of flaky particle motion under typical vibration excitation for gas insulated switchgear live operation

open access: yesHigh Voltage, Volume 10, Issue 3, Page 660-672, June 2025.
Abstract Within 30 min after live operation of gas‐insulated switchgear (GIS), more than 60% of discharge failures are caused by metallic particles. To address this issue, this study explored the vibration propagation mechanisms in GIS cavities and established an equivalent vibration transmission model.
Jian Wang   +7 more
wiley   +1 more source

Coupled anharmonic oscillators: the Rayleigh-Ritz approach versus the collocation approach

open access: yes, 2010
For a system of coupled anharmonic oscillators we compare the convergence rate of the variational collocation approach presented recently by Amore and Fernandez (2010 Phys.Scr.81 045011) with the one obtained using the optimized Rayleigh-Ritz (RR) method.
Amore P   +5 more
core   +1 more source

Modeling the chloride transport in concrete from microstructure generation to chloride diffusivity prediction

open access: yesComputer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 9, Page 1129-1149, 4 April 2025.
Abstract Pore structure characteristics of cementitious materials play a critical role in the transport properties of concrete structures. This paper develops a novel framework for modeling chloride penetration in concrete, considering the pore structure‐dependent model parameters.
Liang‐yu Tong   +5 more
wiley   +1 more source

Doublet structural modeling of nonhomogeneous Euler mass sensor nanobeams using boundary characteristics Bernstein Polynomials

open access: yesZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 105, Issue 3, March 2025.
Abstract This study investigates the doublet structural model for analyzing nonhomogeneous Euler mass sensor nanobeams, incorporating the concept of doublet mechanics alongside Bernstein polynomials (BPs). BPs serve as basic functions within the Rayleigh–Ritz method, facilitating conversional governing equations into a geikneralized Eigenvalue problem.
Rajendran Selvamani   +4 more
wiley   +1 more source

THE APPROXIMATE SOLUTION FOR PLATES USING MODIFIED RAYLEIGH-RITZ METHOD

open access: yesInternational Journal for Computational Civil and Structural Engineering, 2017
For thin elastic plates of arbitrary shape with a smooth pinched or hinged contour based on the modified Rayleigh-Ritz method, explicit expressions are obtained for the approximate values of the maximum deflection from a uniformly distributed load, the ...
Gaik A. Manuylov
doaj   +1 more source

Analytic Variational Investigation of Euclidean SU(3) Gauge Theory

open access: yes, 1993
Analytic variational techniques for lattice gauge theories based on the Rayleigh-Ritz(RR) method were previously developed for euclidean SU(2) gauge theories in 3 and 4 dimensions.
Anishetty   +3 more
core   +2 more sources

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