大學數, gradient..

h2oplusplus2

Let A_0 be the gradient without boundary conditions, and let Au = gradu
restricted by the boundary condition u = 0.
(a) What functions are in the null spaces of A_0 and A? They satisfy gradu = 0
and the associated boundary conditions.
(b) What are the boundary conditions (on w) and the null spaces of A^T
0 and A^T ?

part a仲識做ge
但係part ｂ就真係。。
我知道Ａ　ｇｅ　transpose係ｄｉｖ。。但係唔知點攪落去。。

ｈｅｌｐ。。

Naozumi

For (A_0)^T, I think the boundary condition is w. n = 0, where n is the outnormal of the surface. (p212)

[ 本帖最後由 Naozumi 於 2009-3-17 10:30 PM 編輯 ]