General theory of second order isoparametric elements

1987 ◽  
pp. 91-103
Author(s):  
Jean-Claude Sabonnadière ◽  
Jean-Louis Coulomb
Keyword(s):  
General Theory ◽  
Second Order ◽  
Isoparametric Elements

General theory of second order isoparametric elements

1987 ◽  
pp. 91-103
Author(s):  
Jean-Claude Sabonnadière ◽  
Jean-Louis Coulomb
Keyword(s):  
General Theory ◽  
Second Order ◽  
Isoparametric Elements

scholarly journals Perturbations of nonlinear autonomous oscillators

1994 ◽  
Vol 35 (4) ◽  
pp. 445-468 ◽  
Author(s):  
P. B. Chapman
Keyword(s):  
General Theory ◽  
Fourier Coefficients ◽  
Multiple Scales ◽  
Second Order ◽  
Multiple Scales Method ◽  
Suitable Parameter ◽  
Non Linear

AbstractA general theory is given for autonomous perturbations of non-linear autonomous second order oscillators. It is found using a multiple scales method. A central part of it requires computation of Fourier coefficients for representation of the underlying oscillations, and these coefficients are found as convergent expansions in a suitable parameter.

QUANTIZATION OF SECOND-ORDER CONSTRAINED LAGRANGIAN SYSTEMS USING THE WKB APPROXIMATION

2005 ◽  
Vol 02 (03) ◽  
pp. 485-504 ◽  
Author(s):  
EQAB M. RABEI ◽  
EYAD H. HASSAN ◽  
HUMAM B. GHASSIB ◽  
S. MUSLIH
Keyword(s):  
Wave Function ◽  
General Theory ◽  
Semiclassical Limit ◽  
Second Order ◽  
Constrained Systems ◽  
Wkb Approximation ◽  
Lagrangian Systems

A general theory is given for quantizing both constrained and unconstrained systems with second-order Lagrangian, using the WKB approximation. In constrained systems, the constraints become conditions on the wave function to be satisfied in the semiclassical limit. This is illustrated with two examples.

scholarly journals Correspondances Entre Une Theorie Generale Planetaire En Variables Elliptiques Et La Theorie Classique De Le Verrier

1978 ◽  
Vol 41 ◽  
pp. 15-32 ◽  
Author(s):  
L. Duriez
Keyword(s):  
General Theory ◽  
Classical Theory ◽  
Major Axis ◽  
Second Order ◽  
Semi Major Axis ◽  
First Order ◽  
Short Period ◽  
The Masses ◽  
Secular Terms

AbstractIn order to improve the determination of the mixed terms in classical theories, we show how these terms may be derived from a general theory developed with the same variables (of a keplerian nature). We find that the general theory of the first order in the masses already allows us to develop the mixed terms which appear at the second order in the classical theory. We also show that a part of the constant perturbation of the semi-major axis introduced in the classical theory is present in the general theory as very long-period terms; by developing these terms in powers of time, they would be equivalent to the appearance of very small secular terms (in t, t2, …) in the perturbation of the semi-major axes from the second order in the masses. The short period terms of the classical theory are found the same in the general theory, but without the numerical substitution of the values of the variables.

15.—The Propagation of Second-order Lipschitz Discontinuities in Quasi-linear Hyperbolic Systems with Discontinuous Coefficients

1976 ◽  
Vol 74 ◽  
pp. 205-224
Author(s):  
Alan Jeffrey ◽  
Esin Inan
Keyword(s):  
General Theory ◽  
Hyperbolic Systems ◽  
Discontinuous Coefficients ◽  
Second Order ◽  
Strong Discontinuity ◽  
Plane Shear ◽  
Reflected Waves ◽  
Weak Discontinuities ◽  
Derivatives Of ◽  
Transmission And Reflection

SynopsisThis paper develops the general theory of the propagation of Lipschitz discontinuities in first- and second-order partial derivatives of the initial data for a conservative quasi-linear hyperbolic system with discontinuous coefficients. After establishing that such weak discontinuities propagate along characteristics the appropriate transport equations are derived. The effect on this form of wave propagation of the strong discontinuity associatedwith the discontinuous coefficients is then studied and the transmission and reflection characteristics of the resulting waves are analysed. In conclusion, an application of this general theory is made to the propagation of plane shear waves through two different continuous hyperelastic solids to determine the transmitted and reflected waves.

Second-order elasticity with axial symmetry—I General theory

1972 ◽  
Vol 10 (2) ◽  
pp. 97-114 ◽  
Author(s):  
A.P.S. Selvadurai ◽  
A.J.M. Spencer
Keyword(s):  
General Theory ◽  
Axial Symmetry ◽  
Second Order

scholarly journals No stable static spherically symmetric wormholes in Horndeski theory

2018 ◽  
Vol 191 ◽  
pp. 07012
Author(s):  
Oleg Evseev ◽  
Oleg Melichev
Keyword(s):  
Scalar Field ◽  
General Theory ◽  
Dimensional Space ◽  
Space Time ◽  
Second Order ◽  
Spherically Symmetric ◽  
Field Equations ◽  
Asymptotically Flat ◽  
Dimensional Space Time

We consider the most general theory of a single scalar field with the second order field equations, the Horndeski theory, in four-dimensional space-time. We show that static, spherically symmetric, asymptotically flat, Lorentzian wormholes are unstable in this theory.

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