On 6/21/23 08:07, 'Jost Arndt' via deal.II User Group wrote:
Linearizing the weak formulation of a product of two functions, i.e. in the
original equation the term f*g appears, both f,g are real-valued functions.
The weak formulation looks therefore somehow like (f*g, \phi).
This term appears implicitly and explicitly (i.e. f,g are sometimes known,
sometimes both unknown).
I was wondering if there is a tidy version to linearize this in kind of a 3D
Tensor?
As an example in Tutorial-23 (f,\phi) gets linearized into A * b, A being a
Matrix of the products of base functions and b only the parameter vector of f.
Having read over this a number of times, I must admit that I still don't quite
understand what you want to do. Can you be more concrete what you want to do,
and how? Are you asking what happens when both f and g are finite element
functions, and whether one can write
(f*g, \phi_i)
in a more elegant way?
Best
W.
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Wolfgang Bangerth email: bange...@colostate.edu
www: http://www.math.colostate.edu/~bangerth/
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