An analysis of the Rayleigh-Ritz and refined Rayleigh-Ritz methods for regular nonlinear eigenvalue problems [PDF]
SIAM Journal on Matrix Analysis and Applications, 2022 25 pages, 1 figure, SIAM Journal on Matrix Analysis and Applications, accepted, December 18 ...
Zhongxiao Jia, Qingqing Zheng
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Free Vibration Analysis of Arbitrary-Shaped Plates Based on the Improved Rayleigh–Ritz Method [PDF]
Advances in Civil Engineering, 2019 In this investigation, an improved Rayleigh–Ritz method is put forward to analyze the free vibration characteristics of arbitrary-shaped plates for the traditional Rayleigh–Ritz method which is difficult to solve.
Wenjie Guo, Qingsong Feng
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Estimates for the errors in the Rayleigh-Ritz method [PDF]
Pacific Journal of Mathematics, 1953 with homogeneous linear boundary conditions, denoted by (C). It is assumed that the parameter λ does not appear in the boundary conditions. The region R of the problem may be of any number of dimensions; the symbol ff(P)dP will mean an integral over /?, dP standing for the Euclidean volume element; (/, g) will stand for ff(P)g{P)dP; and ||/||, for (f ...
Fulton Koehler
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Rayleigh–Ritz Majorization Error Bounds with Applications to FEM [PDF]
SIAM Journal on Matrix Analysis and Applications, 2010 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 $A$. If the trial subspace is $A$-invariant, the Ritz values are exactly some of the eigenvalues of $A$. Given two subspaces $\X$ and $\Y$ of the same finite dimension,
Andrew Knyazev
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Rayleigh-Ritz variational method with suitable asymptotic behaviour [PDF]
Open Physics, 2014 Fernández Francisco, Garcia Javier
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Rayleigh--Ritz Majorization Error Bounds of Mixed Type [PDF]
SIAM Journal on Matrix Analysis and Applications, 2017 20 pages, 1 figure.
Peizhen Zhu, Andrew V. Knyazev
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CIRR: a Rayleigh-Ritz type method with contour integral for generalized eigenvalue problems [PDF]
Hokkaido Mathematical Journal, 2007 Tetsuya Sakurai, Hiroto Tadano
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Effect of Elastically Restrained Edges on Free Transverse Vibration of Functionally Graded Porous Rectangular Plate [PDF]
Mechanics of Advanced Composite Structures, 2022 In this paper, the author studied free transverse vibration of a thin isotropic simply-supported functionally graded (FG) rectangular plate with porosity effect based on classical plate theory. The plate is considered to be elastically restrained against
Yajuvindra Kumar
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Damage Detection of Bridge by Rayleigh-Ritz Method [PDF]
Journal of Rehabilitation in Civil Engineering, 2020 As a result of environmental and accidental actions, damage occurs in structures. The early detection of any defect can be achieved by regular inspection and condition assessment.
Mohammad Hasan Daneshvar +3 more
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Computation, 2023 An energy-based solution for calculating the buckling loads of partially anisotropic stiffened plates is presented, such as antisymmetric cross-ply and angle-ply laminations.
Dimitrios G. Stamatelos +1 more
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