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/