Results 31 to 40 of about 749 (184)
On Natural Oscillations of a Thin Elastic Wavy Shell of an Open Profile
Journal of Architectural and Engineering Research, 2021 The article touches upon the problem of natural oscillations of a thin elastic wavy shell of an open profile. The proposed method for determining the numerical values of the lowest frequencies and the corresponding forms of natural oscillations of shells
Victor Dmitriy Eryomin
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Shock and Vibration, 2022 In this investigation, free vibration of stepped circular Mindlin plate with arbitrary boundary conditions is presented by an improved Fourier–Ritz method.
Qingjun Hao, Zhaobo Chen, Wenjie Zhai
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On the Rayleigh-Ritz variational method
, 2022 We give a simple proof of the well known fact that the approximate eigenvalues provided by the Rayleigh-Ritz variational method are increasingly accurate upper bounds to the exact ones. To this end, we resort to the variational principle, mentioned in most textbooks on quantum chemistry, and to a well known set of projection operators.
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The Use of Restarted Krylov Methods for Large Sparse Least Squares Problems
Numerical 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
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Shock 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
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Mixed Precision Augmented GMRES
Numerical 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
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SIAM Journal on Matrix Analysis and Applications25 pages, 1 figure, SIAM Journal on Matrix Analysis and Applications, accepted, December 18 ...
Zhongxiao Jia, Qingqing Zheng
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Deep Learning‐Based Phase‐Field Modelling of Brittle Fracture in Anisotropic Media
International 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
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Journal of Engineering, 2019 Buckling analysis of a laminated composite thin plate with different boundary conditions subjected to in-plane uniform load are studied depending on classical laminated plate theory; analytically using (Rayleigh-Ritz method).
Widad I. Majeed +1 more
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Free Vibration Analysis of Size-Dependent, Functionally Graded, Rectangular Nano/Micro-plates based on Modified Nonlinear Couple Stress Shear Deformation Plate Theories [PDF]
Mechanics of Advanced Composite Structures, 2017 In the present study, a vibration analysis of functionally graded rectangular nano-/microplates was considered based on modified nonlinear coupled stress exponential and trigonometric shear deformation plate theories.
Korosh Khorshidi, Abolfazl Fallah
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