Results 41 to 50 of about 108,403 (183)

The Use of Restarted Krylov Methods for Large Sparse Least Squares Problems

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT The use of restarted Krylov methods for solving large sparse linear least squares problems suffers from certain inherited difficulties. One of them arises in ill‐conditioned problems, when part of the residual vector is spanned by singular vectors that correspond to small singular values.
Achiya Dax
wiley   +1 more source

Vibration analysis of arbitrary straight-sided quadrilateral plates using a simple first-order shear deformation theory

open access: yesResults in Physics, 2018
This paper studies the free vibration characteristics of arbitrary straight-sided quadrilateral plates using a simple first-order shear deformation theory (SFSDT), which contains only four unknown displacement components.
Dongyan Shi   +3 more
doaj   +1 more source

Mixed Precision Augmented GMRES

open access: yesNumerical Linear Algebra with Applications, Volume 33, Issue 4, August 2026.
ABSTRACT We aim to accelerate the restarted generalized minimal residual (GMRES) method for the solutions of linear systems by combining two types of techniques. On the one hand, mixed precision GMRES algorithms, which use lower precision in certain steps of the inner cycles, offer significant reductions in computational and memory costs.
Yongseok Jang   +2 more
wiley   +1 more source

Free and Forced Vibration Characteristics Analysis of a Multispan Timoshenko Beam Based on the Ritz Method

open access: yesShock and Vibration, 2021
The uniform formulation of dynamic vibration analysis of multispan beams is presented by using an efficient domain decomposition method in this paper.
Cong Gao   +5 more
doaj   +1 more source

Deep Learning‐Based Phase‐Field Modelling of Brittle Fracture in Anisotropic Media

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 13, 15 July 2026.
ABSTRACT This work presents a variational physics‐informed deep learning framework for phase‐field modelling of brittle crack propagation in anisotropic media. Previous variational energy‐based neural network (NN) approaches have focused on second‐order, isotropic phase‐field fracture formulations and have relied on fully connected NNs.
Nojus Plungė   +3 more
wiley   +1 more source

Free vibration analysis of plates and shells by using the Superposition Method [PDF]

open access: yes, 2010
This thesis is devoted to investigate the capability of the Superposition Method for obtaining the transient response of plates and the natural frequencies of thin doubly curved shallow shells.
Mochida, Yusuke
core  

Application of the Classical Rayleigh-Ritz Method in Dynamics of Circular Archces

open access: yesEngineering Transactions, 1993
The paper deals with Rayleigh-Timoshenko and Bernoulli-Euler models of circular arches with extensible or inextensible axes clamped with free radial sliding at both ends.
B. Olszowski
doaj  

Hamiltonian truncation study of supersymmetric quantum mechanics: S-matrix and metastable states

open access: yesJournal of High Energy Physics, 2019
We implement the Rayleigh-Ritz method in supersymmetric quantum mechanics with flat directions, and extract the S-matrix and metastable resonances.
Bruno Balthazar   +2 more
doaj   +1 more source

Experimental Modal Analysis‐Driven Gaussian Process Regression Modeling of Rectangular Steel Beams With Various Hole Geometries

open access: yesInternational Journal of Mechanical System Dynamics, Volume 6, Issue 2, Page 327-343, June 2026.
ABSTRACT Understanding the dynamic behavior of structural components is crucial for optimizing performance and ensuring structural integrity. This study presents a new method that combines a systematic experimental investigation of four distinct hole geometries (circular, square, compact rectangular, and long rectangular) with varying hole counts, all ...
Amir Hossein Rabiee   +3 more
wiley   +1 more source

A Proposal of Mode Polynomials for Efficient Use of Component Mode Synthesis and Methodology to Simplify the Calculation of the Connecting Beams

open access: yesJournal of Marine Science and Engineering, 2020
Analytical method using Rayleigh–Ritz method has not been widely used recently due to intensive use of finite element analysis (FEA). However as long as suitable mode functions together with component mode synthesis (CMS) can be provided, Rayleigh–Ritz ...
Jeong Hee Park, Duck Young Yoon
doaj   +1 more source

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