Results 61 to 70 of about 742 (186)
Optimal a priori error bounds for the Rayleigh-Ritz method [PDF]
Mathematics of Computation, 2002 We derive error bounds for the Rayleigh-Ritz method for the approximation to extremal eigenpairs of a symmetric matrix. The bounds are expressed in terms of the eigenvalues of the matrix and the angle between the subspace and the eigenvector. We also present a sharp bound.
Sleijpen, G.L.G. +2 more
openaire +5 more sources
Stabilized Krylov Subspace Recurrences via Randomized Sketching
Numerical 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
High 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
Computer-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
Application of the Classical Rayleigh-Ritz Method in Dynamics of Circular Archces
Engineering 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
ZAMM - 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
Angle‐Free Cluster‐Robust Ritz Value Bounds for Restarted Block Eigensolvers
Numerical Linear Algebra with Applications, Volume 32, Issue 1, February 2025.ABSTRACT Convergence rates of block iterations for solving Hermitian eigenvalue problems typically measure the errors of Ritz values approximating eigenvalues. These errors are usually bounded in terms of principal angles between the initial or iterative subspace and the invariant subspace associated with the target eigenvalues.
Ming Zhou, Andrew Knyazev, Klaus Neymeyr
wiley +1 more source
Advances in Civil Engineering, Volume 2025, Issue 1, 2025.This paper focuses on investigating the mechanical buckling behavior of composite and orthotropic classical rectangular plates using the Galerkin theory. By utilizing the classical plate theory of elasticity, the governing equations for the functionally graded plate material subjected to a uniaxially distributed load along the x and y axes are derived ...
Thompson Edozie Okeke +4 more
wiley +1 more source
Advances in Materials Science and Engineering, Volume 2025, Issue 1, 2025.Reinforced concrete columns (RCCs) are critical load‐bearing elements in structural systems, where stability is often governed by buckling, particularly in slender members subjected to axial compression. While extensive studies exist on column buckling, there remains a need for integrated approaches that couple analytical formulations with advanced ...
Rajib Karmaker +3 more
wiley +1 more source
Analytical method comparison on critical force of the stepped column model of telescopic crane
Advances in Mechanical Engineering, 2018 The calculation of the critical force of the stepped column model of telescopic boom crane is the key to stability calculation of all-terrain crane. In slightly bending theory, differential equation can be built up, and then the deflection curve of ideal
Fenglin Yao +4 more
doaj +1 more source