Multivariate cryptography: Difference between revisions

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In [[continuum mechanics]], and in particular in [[finite element analysis]], the '''Hu-Washizu principle''' is a [[variational principle]] which says that the action
 
:<math>\int_{V^e} \left[ \frac{1}{2} \epsilon^T C \epsilon - \sigma^T \epsilon + \sigma^T (\nabla u) - \bar{p}^T u \right] dV - \int_{S_\sigma^e} \bar{T}^T u\ dS</math>
 
is stationary, where <math>C</math> is the elastic stiffness tensor. The Hu-Washizu principle is used to develop mixed [[finite element method]]s.<ref>{{cite journal|last=Jihuan|first=He|date=June 1997|title=Equivalent theorem of Hellinger-Reissner and Hu-Washizu variational principles|journal=Journal of Shanghai University|publisher=Shanghai University Press|volume=1|issue=1|issn=1007-6417|url=http://www.springerlink.com/content/8r4812w302061273/|accessdate=2009-09-22}}</ref> The principle is named after [[Hu Haichang]] and K. Washizu.
 
==References==
{{reflist}}
 
<div class="boilerplate" id="stub">[[Image:Arithmetic symbols.svg|21px]] ''This [[applied mathematics]]-related article is a [[Wikipedia:Stub|stub]]. You can [[Wikipedia:Find or fix a stub|help]] Wikipedia by [{{SERVER}}/w/index.php?stub&title={{FULLPAGENAMEE}}&action=edit expanding it]''.</div>
 
[[Category:Calculus of variations]]
[[Category:Finite element method]]
[[Category:Structural analysis]]
[[Category:Principles]]
[[Category:Continuum mechanics]]

Revision as of 20:45, 24 January 2014

In continuum mechanics, and in particular in finite element analysis, the Hu-Washizu principle is a variational principle which says that the action

Ve[12ϵTCϵσTϵ+σT(u)p¯Tu]dVSσeT¯Tu dS

is stationary, where C is the elastic stiffness tensor. The Hu-Washizu principle is used to develop mixed finite element methods.[1] The principle is named after Hu Haichang and K. Washizu.

References

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This applied mathematics-related article is a stub. You can help Wikipedia by expanding it.
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