Dear group,

thanks for your time to review this email.

I have queation about the ways to get derivative of stiffness matrix with
density.

Currently,I have the stiffness matrix A an density vector v.

If I know the constructing process of cell matrix in code,how should I
calculate the derivative of stiffness matrix with density?

A is a 4131*4131 matrix,v is 1024*1 vector. After derivative calculation
the result is a 4131*4131*1024 matrix and a Jacobin matrix,if I am wrong
,please provide your suggestions.

Is there any similar examples written in tutorial in dealii?

Could you please provide any hint or suggestions?

This program is based on cook_membrance.cc
https://www.dealii.org/current/doxygen/code-gallery/Quasi_static_Finite_strain_Compressible_Elasticity/cook_membrane.cc

Through the program the detail of cell matrix with density can be seen.

Best regards
Lance

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