Hi,

AT+BFT^4=C
A, B, F are sparse matrices.
How to solve this nonlinear problem?
What kind of weak form is simplified?

And if I just want to get a vector of Jacobi matrices, what should I do?

Best,
FU

在 2018年11月20日星期二 UTC+8下午10:08:26,Wolfgang Bangerth写道:
>
> 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. 
>
>
> -- 
> ------------------------------------------------------------------------ 
> Wolfgang Bangerth          email:                 bang...@colostate.edu 
> <javascript:> 
>                             www: http://www.math.colostate.edu/~bangerth/ 
>
>

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