equations

Marius S. Birsan birsan at drea.dnd.ca
Fri Aug 20 16:04:29 CEST 1999


[]  Thank you, Chris.   BTW, dont you have some examples  in 3D available ? 
[]  Marius
Hi,

'd' stands for the exterior derivative operator in differential
geometry. If 'a' is a 1-form (say one kind of vector field), 'd' stands
for 'curl', and the equations are equivalent to:

Galerkin { [ nu[] * Dof{Curl a} , {Curl a} ]  ; In Domain_Mag ;
           Jacobian Vol ; Integration CurlCurl ; }
Galerkin { [ - Dof{js} , {a} ] ; In DomainS_Mag ;
           Jacobian Vol ; Integration CurlCurl ; }

which means "Integrate the scalar product of 'mu*Curl(a)' by 'Curl(a)'
minus the scalar product of 'js' by 'a'". The notation [x,x] is one of
the classical notations for a scalar product in a function space (here
the scalar product relative to the L2 norm). 


-- 
Christophe Geuzaine

Tel: +32-(0)4-366.37.10    mailto:Christophe.Geuzaine at ulg.ac.be
Fax: +32-(0)4-366.29.10    http://www.montefiore.ulg.ac.be/~geuzaine/