Hey everyone, I am trying to solve a specific reaction-diffusion system of PDEs and followed several tutorials. I want to solve a time-dependent system of PDEs. Following tutorial-23 I discretized the time and then wanted to use FESystem as described vector valued problems <https://dealii.org/developer/doxygen/deal.II/group__vector__valued.html> or in one of the linked Tutorials. However, I found myself having a question about a specific term: 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.
Especially since for every time step, I would reuse the Tensor consisting only of basis functions. Worst case I would have to use Newton's Method (tutorial-15) if I understand everything so far correctly. Or is there a tutorial doing exactly what I was looking for that I did not see? Thank you so much already for your help! -- The deal.II project is located at http://www.dealii.org/ For mailing list/forum options, see https://groups.google.com/d/forum/dealii?hl=en --- You received this message because you are subscribed to the Google Groups "deal.II User Group" group. To unsubscribe from this group and stop receiving emails from it, send an email to dealii+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/dealii/38d14e7c-9fea-4032-a8bc-df96455d0550n%40googlegroups.com.
