Energy functionals and canonical metrics in Sasakian geometry

2011 ◽  
Vol 41 (9) ◽  
pp. 837-848
Author(s):  
Yue WANG ◽  
Xi ZHANG
Keyword(s):  
Energy Functionals ◽  
Canonical Metrics ◽  
Sasakian Geometry

scholarly journals Self-consistent Dyson equation and self-energy functionals: An analysis and illustration on the example of the Hubbard atom

2017 ◽  
Vol 96 (4) ◽  
Author(s):  
Walter Tarantino ◽  
Pina Romaniello ◽  
J. A. Berger ◽  
Lucia Reining
Keyword(s):  
Dyson Equation ◽  
Energy Functionals ◽  
Self Energy ◽  
Self Consistent

Ab initiomolecular dynamics: Analytically continued energy functionals and insights into iterative solutions

1992 ◽  
Vol 69 (7) ◽  
pp. 1077-1080 ◽  
Author(s):  
T. A. Arias ◽  
M. C. Payne ◽  
J. D. Joannopoulos
Keyword(s):  
Energy Functionals ◽  
Iterative Solutions

A reexamination of exchange energy functionals

1999 ◽  
Vol 111 (13) ◽  
pp. 5656-5667 ◽  
Author(s):  
Takao Tsuneda ◽  
Toshihisa Suzumura ◽  
Kimihiko Hirao
Keyword(s):  
Exchange Energy ◽  
Energy Functionals

Natural Frequencies of Parallelogrammic Plates Using Characteristic Orthogonal Polynomials in Rayleigh-Ritz Method

1992 ◽  
Author(s):  
L. T. Lee ◽  
W. F. Pon
Keyword(s):  
Boundary Conditions ◽  
Coordinate System ◽  
Orthogonal Polynomials ◽  
Natural Frequencies ◽  
Ritz Method ◽  
Energy Functional ◽  
Comprehensive Treatment ◽  
Energy Functionals ◽  
Simply Supported ◽  
Cartesian Coordinate

Abstract Natural frequencies of parallelogrammic plates are obtained by employing a set of beam characteristic orthogonal polynomials in the Rayleigh-Ritz method. The orthogonal polynomials are generalted by using a Gram-Schmidt process, after the first member is constructed so as to satisfy all the boundary conditions of the corresponding beam problems accompanying the plate problems. The strain energy functional and kinetic energy functionals are transformed from Cartesian coordinate system to a skew coordinate system. The natural frequencies obtained by using the orthogonal polynomial functions are compared with those obtained by other methods with all four edges clamped boundary conditions and greet agreements are found between them. The natural frequencies for parallelogrammic plates with other boundary conditions, such as four edges simply supported, clamped-free and simply supported-free, are also obtained. This method is considered as a better and accurate comprehensive treatment for this type of problems.

Sign in / Sign up

Export Citation Format

Share Document