Results 101 to 110 of about 12,056 (269)
A robust and efficient implementation of LOBPCG
Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) is widely used to compute eigenvalues of large sparse symmetric matrices. The algorithm can suffer from numerical instability if it is not implemented with care.
Duersch, Jed A. +3 more
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Eigenfunction Convergence of the Rayleigh-Ritz-Meirovitch Method and the FEM
Eigenfunction convergence characteristics of the finite element method and the Rayleigh-Ritz method with quasicomparison functions (RRMM) are compared. The RRMM has previously proved to be superior in comparing eigenvalue convergence characteristics. The
C.A. Morales, R. Goncalves
doaj +1 more source
Rayleigh-Ritz Majorization Error Bounds for the Linear Response Eigenvalue Problem
In the linear response eigenvalue problem arising from computational quantum chemistry and physics, one needs to compute a few of smallest positive eigenvalues together with the corresponding eigenvectors.
Teng Zhongming, Zhong Hong-Xiu
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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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Free Vibration Analysis of Cylindrical Shell from Fiberglass with Navier Boundary Conditions
The analytical solution of approximate natural frequencies for the free vibration of cylindrical shells of GFRP (glass fiber reinforced plastic) with Navier boundary conditions is presented using the Rayleigh-Ritz method, while the winding angle varies ...
S.M. Bosiakov , W. Zhiwei
doaj
Localization transition of random copolymers at interfaces
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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CONTOUR INTEGRAL EIGENSOLVER FOR NON-HERMITIAN SYSTEMS: A RAYLEIGH-RITZ-TYPE APPROACH [PDF]
Tsutomu Ikegami, Tetsuya Sakurai
openalex +1 more source
Large scale ab initio calculations based on three levels of parallelization
We suggest and implement a parallelization scheme based on an efficient multiband eigenvalue solver, called the locally optimal block preconditioned conjugate gradient LOBPCG method, and using an optimized three-dimensional (3D) fast Fourier transform ...
Andrew Knyazev +38 more
core +2 more sources
INFLUENCE OF THE LENGHTS RATIO TO THE STATIC ANSWER IN THE MOVEMENT OF A ROAD DECK [PDF]
The article presents a method to obtaining the static response bridge-vehicle system in displacements,and the influence of the lengths ratio of the deck bridge on this response.
Ovidiu GAVRIŞ
doaj

