Spectral Discretization of a Naghdi Shell Model

2007 ◽  
Vol 45 (6) ◽  
pp. 2653-2670 ◽  
Author(s):  
Christine Bernardi ◽  
Adel Blouza
Keyword(s):  
Shell Model ◽  
Naghdi Shell ◽  
Spectral Discretization

scholarly journals A new element for analyzing large deformation of thin Naghdi shell model. Part 1: Elastic

2010 ◽  
Vol 34 (12) ◽  
pp. 4267-4277 ◽  
Author(s):  
Aazam Ghassemi ◽  
Alireza Shahidi ◽  
Mahmoud Farzin
Keyword(s):  
Shell Model ◽  
Large Deformation ◽  
Naghdi Shell

scholarly journals A new element for analyzing large deformation of thin Naghdi shell model. Part II: Plastic

2011 ◽  
Vol 35 (6) ◽  
pp. 2650-2668 ◽  
Author(s):  
Aazam Ghassemi ◽  
Alireza Shahidi ◽  
Mahmoud Farzin
Keyword(s):  
Shell Model ◽  
Large Deformation ◽  
Naghdi Shell

Hierarchic finite elements for thin Naghdi shell model

1998 ◽  
Vol 35 (16) ◽  
pp. 1863-1880 ◽  
Author(s):  
C. Chinosi ◽  
L. Della Croce ◽  
T. Scapolla
Keyword(s):  
Finite Elements ◽  
Shell Model ◽  
Naghdi Shell

SHELL MODEL, QUARTETS AND ROTONS IN THE s-d SHELL

1971 ◽  
Vol 32 (C6) ◽  
pp. C6-33-C6-37 ◽  
Author(s):  
A. ARIMA
Keyword(s):  
Shell Model

Spectral Methods

2018 ◽  
Author(s):  
S. G. Rajeev
Keyword(s):  
Simple Model ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Linear Algebra ◽  
Spectral Methods ◽  
Differential Operators ◽  
Higher Dimensions ◽  
Standard Linear ◽  
Sommerfeld Equation ◽  
Spectral Discretization

Thenumerical solution of ordinary differential equations (ODEs)with boundary conditions is studied here. Functions are approximated by polynomials in a Chebychev basis. Sections then cover spectral discretization, sampling, interpolation, differentiation, integration, and the basic ODE. Following Trefethen et al., differential operators are approximated as rectangular matrices. Boundary conditions add additional rows that turn them into square matrices. These can then be diagonalized using standard linear algebra methods. After studying various simple model problems, this method is applied to the Orr–Sommerfeld equation, deriving results originally due to Orszag. The difficulties of pushing spectral methods to higher dimensions are outlined.

Shell-model study ofS39(β−)39Cl and the energy levels ofCl39

1989 ◽  
Vol 40 (6) ◽  
pp. 2823-2833 ◽  
Author(s):  
E. K. Warburton ◽  
J. A. Becker
Keyword(s):  
Shell Model ◽  
Energy Levels ◽  
Model Study
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