Hello Deal.II Users,

I am working on setting a constraint: (V - v_s ) \cdot n =  \phi_f (v_f - 
v_s) \cdot n  on three vector variables at the interface with affine 
constraint class in Deal.II's library.

(Where, V, v_s, and v_f are velocity vectors on two different domains,  and 
they are coupled with each other at the interface; n is the normal vector; 
\phi_f is the volume fraction.)

I decided to constrain either V_x= -(...) / n_x  or  V_y= -(...) / n_y 
depending on the absolute values of n_x or n_y (n_x and n_y are the 
components at x, y directions of the normal vector n).

Now, I have a problem with getting the normal vectors *at nodes *when 
playing with affine constraint within the fe_nothing and hp:finite element 
framework. The relevant function/class I have found in Deal.II's library 
all return the normal vector *at quadrature points,* not at nodes.

Have you ever encountered a problem like this? Could you kindly share me 
your idea of handling this problem? Thousand of thanks. 


Lei Li

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