Results 91 to 100 of about 12,444 (221)
Bounds on changes in Ritz values for a perturbed invariant subspace of a Hermitian matrix
, 2008 The Rayleigh-Ritz method is widely used for eigenvalue approximation. Given a matrix $X$ with columns that form an orthonormal basis for a subspace $\X$, and a Hermitian matrix $A$, the eigenvalues of $X^HAX$ are called Ritz values of $A$ with respect to
A. V. Knyazev +4 more
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MathematicsThe nonlinear deformation and vibrations of elastic plates represent a fundamental problem in structural vibration analysis, frequently encountered in engineering applications and classical mathematical studies.
Jie Han +6 more
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Bending and Deformation of Sandwich Panels Due to Localized Pressure
ITB Journal of Engineering Science, 2005 Bending and deformation of sandwich panels due to localized pressure were analyzed using both Rayleigh-Ritz and finite element methods. The faces were made of laminated composite plates, while the core was a honeycomb material.
Bambang K. Hadi, A. Fajar
doaj
AXISYMMETRIC FREE VIBRATION OF THIN PROLATE SPHEROIDAL SHELLS
Journal of Engineering, 2006 In this paper a detailed study of the theory of free axisymmetric vibration of thin isotropic prolate spheroidal shells is presented. The analysis is performed according to Rayleigh – Ritz method. This method as well as an approximate modeling technique
Ahmed A. Hassan +2 more
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On the problem of modeling for parameter identification in distributed structures [PDF]
Structures are often characterized by parameters, such as mass and stiffness, that are spatially distributed. Parameter identification of distributed structures is subject to many of the difficulties involved in the modeling problem, and the choice of ...
Meirovitch, Leonard, Norris, Mark A.
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Localization transition of random copolymers at interfaces
, 1999 We consider adsorption of random copolymer chains onto an interface within the model of Garel et al. Europhysics Letters 8, 9 (1989). By using the replica method the adsorption of the copolymer at the interface is mapped onto the problem of finding the ...
A. Sali +24 more
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Buckling of a sublaminate in a quasi-isotropic composite laminate [PDF]
The buckling of an elliptic delamination embedded near the surface of a thick quasi-isotropic laminate was predicted. The thickness of the delaminated ply group (the sublaminate) was assumed to be small compared to the total laminate thickness.
Shivakumar, K. N., Whitcomb, J. D.
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A Short Theory of the Rayleigh–Ritz Method [PDF]
Computational Methods in Applied Mathematics, 2013 Abstract. We present some new error estimates for the eigenvalues and eigenfunctions obtained by the Rayleigh–Ritz method, the common variational method to solve eigenproblems. The errors are bounded in terms of the error of the best approximation of the eigenfunction under consideration by functions in the ansatz space.
openaire +1 more source
Development of a reduced basis technique for transient thermal analysis [PDF]
A technique to reduce the degrees of freedom in static and dynamic problems, the reduced basis method, is described. The method combines the classical Rayleigh-Ritz approximation with contemporary finite element methods to retain modeling versatility as ...
Shore, C. P.
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Rayleigh-Ritz majorization error bounds of the mixed type
, 2016 The absolute change in the Rayleigh quotient (RQ) for a Hermitian matrix with respect to vectors is bounded in terms of the norms of the residual vectors and the angle between vectors in [\doi{10.1137/120884468}]. We substitute multidimensional subspaces
Knyazev, Andrew, Zhu, Peizhen
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