On 11/19/18 11:59 PM, FU wrote:
> How to get the derivative of a vector?
> 
> 
> Jacobian matrix of vectors
> T^4 is a vector.

That's a misunderstanding. I suspect that you have a term of the form
   T(x)^4
in your PDE, but if you multiply this by test function phi_i and integrate 
over the domain, you get a vector
   F_i = \int_\Omega  \phi_i(x) T(x)^4  dx
which is not the element-by-element fourth power of the nodal vector T that 
corresponds to T(x).

You will want to look at how step-15 solves nonlinear problems to see how to 
approach such problems.

Best
  W.


-- 
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Wolfgang Bangerth          email:                 bange...@colostate.edu
                            www: http://www.math.colostate.edu/~bangerth/

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