A two-dimensional, finite-element, flux-corrected transport algorithm for the solution of gas discharge problems

2000 ◽  
Vol 33 (19) ◽  
pp. 2453-2466 ◽  
Author(s):  
G E Georghiou ◽  
R Morrow ◽  
A C Metaxas
Keyword(s):  
Finite Element ◽  
Gas Discharge ◽  
Two Dimensional ◽  
Flux Corrected Transport ◽  
Dimensional Finite Element ◽  
Element Flux

Exact analysis of the bending of wide beams by a modified elastica approach

2011 ◽  
Vol 225 (11) ◽  
pp. 2759-2764 ◽  
Author(s):  
L F Campanile ◽  
R Jähne ◽  
A Hasse
Keyword(s):  
Finite Element ◽  
Substantial Reduction ◽  
Short Review ◽  
Computational Effort ◽  
Two Dimensional ◽  
Finite Element Calculations ◽  
Dimensional Finite Element ◽  
Wide Beams ◽  
Insight Into ◽  
Selection Of

Classical beam models do not account for partial restraint of anticlastic bending and are therefore inherently inaccurate. This article proposes a modification of the exact Bernoulli–Euler equation which allows for an exact prediction of the beam's deflection without the need of two-dimensional finite element calculations. This approach offers a substantial reduction in the computational effort, especially when coupled with a fast-solving schema like the circle-arc method. Besides the description of the new method and its validation, this article offers an insight into the somewhat disregarded topic of anticlastic bending by a short review of the published theories and a selection of representative numerical results.

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