A finite element method for neutron transport—VI. Upper and lower bounds for local characteristics of solutions

1982 ◽  
Vol 9 (6) ◽  
pp. 315-330 ◽  
Author(s):  
R.T. Ackroyd ◽  
B.A. Splawski
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lower Bounds ◽  
Neutron Transport ◽  
Upper And Lower Bounds ◽  
Local Characteristics ◽  
Element Method

Sway Added-Mass of Cylinders in a Canal Using Dual-Extremum Principles

1977 ◽  
Vol 21 (04) ◽  
pp. 193-199
Author(s):  
Kwang June Bai
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Lower Bounds ◽  
Added Mass ◽  
Numerical Results ◽  
Upper And Lower Bounds ◽  
Two Dimensional ◽  
Rectangular Section ◽  
Circular Section ◽  
Element Method

This paper describes a finite-element method based on the dual extremum principles. As an application of the dual-extremum principles, the upper and lower bounds of the added mass of two-dimensional cylinders in a canal are computed for the zero-and infinite-frequency limits. Specifically, the upper and lower bounds of the added mass of a rectangular section, a triangular section, a circular section, and a Lewis-form section at the center of a rectangular canal are computed. The added mass is also computed for a rectangular section at off-center locations in a canal. Present numerical results are compared with previous results obtained by the hypercircle method [1].

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