Dear Lance,
It would be easier if you posted the PDE you wish to solve and it's weak
form. This would enable us to help you write the Jacobian for it.
Currently, it is difficult to fully understand what you are trying to
achieve.
Best
Bruno
On Monday, July 24, 2023 at 4:13:21 p.m. UTC-4 dim...@g
Hello Wolfgang,
thanks for your reply.
Currently,I would like to get the sensitivity by using gradient of
objective function with respect to density.
The Objective function is a vector of movement which is calculated from
Ax=b.
J=|x|norm1 is the objective function.
dJ(x,Θ)/dΘ is the gradient th
On 7/24/23 11:24, Lance Zhang wrote:
One moire question,how could I get ∂A(θ)/∂θx,because I did not find any
information about density vector like θ=[θ1,θ2,...,θm],may I know if I have
to set density vector value in this finite element?
Lance -- I have no idea. I don't know the program, bu
Hello Wolfgang,
The value of A^-1(θ))(-∂A(θ)/∂θ)x is what I would like to obtain.
Thanks in advance!
Best regards
Lance
On Monday, July 24, 2023 at 7:24:53 PM UTC+2 Lance Zhang wrote:
> Hello Wolfgang,
>
> thanks for your reply.
>
> I will follow your point to see if I could find the solution.
Hello Wolfgang,
thanks for your reply.
I will follow your point to see if I could find the solution.
One moire question,how could I get ∂A(θ)/∂θx,because I did not find any
information about density vector like θ=[θ1,θ2,...,θm],may I know if I
have to set density vector value in this finite
The given conditions are stiffness matrix,destination function and x from
Ax=b,x is movement ,b is force,A is global stiffness matrix.
J(x)=||x||norm-1
This is a questionable choice because dJ/dx is not defined at x=0.
There is one equation:
dJ(x,θ)/dθ=∂J(x,θ)/∂θ+∂J(x,θ)/∂x
*∂x/∂θ=∂J(x,θ)/∂
Hello ,
Thanks for your time to see this question.
The given conditions are stiffness matrix,destination function and x from
Ax=b,x is movement ,b is force,A is global stiffness matrix.
J(x)=||x||norm-1
There is one equation:
dJ(x,θ)/dθ=∂J(x,θ)/∂θ+∂J(x,θ)/∂x
*∂x/∂θ=∂J(x,θ)/∂θ+∂J(x,θ)/∂x*[A^-1(