My name is Zoe, and I am new to deal.II. I’m currently working on a
project where I need to solve a non-linear PDE using semi-implicit
time-stepping with the Finite Element Method (FEM). I would like to use
deal.II for this purpose.
PDE:
Screenshot 2024-09-26 at 16.51.14.png
semi-implicit:
Screenshot 2024-09-26 at 16.51.26.png
After going through step-26, I’ve learned how to implement time-stepping
using the theta-scheme. However, I’m struggling to adapt the existing
code to incorporate semi-implicit time-stepping and non-linear parts for
my problem.
Could anyone provide guidance on how to modify step-26 or suggest
alternative steps/examples that might be more suitable for this type of
problem?
Zoe:
I think you will find yourself interested in this code gallery program:
https://dealii.org/developer/doxygen/deal.II/code_gallery_Swift_Hohenberg-Solver.html
It essentially does what you want to do, just for a problem with four
(instead of two) spatial derivatives.
Best
W.
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