Finite Element Method in FEniCS: 1D Transient Heat Diffusion in detail

[@alikoulani5446]

for anyone watching this in 2024 or later, do "Import dolfin as fe" and the rest of the code should work

[@vishalkumar040393]

does this works with dolfinx?

[@alikoulani5446]

@@vishalkumar040393 i dont think so, the change from dolfin to dolfinx was beyond my understanding of python and FEM maybe Herr Köhler can provide us with some new videos :D

[@thomaslee6498]

Thank you very much for your excellent sharing! I like your detail explanations and steps which solved lots of questions in my mind in the past......Thank you so much! A greeting from Taiwan.......

[@MachineLearningSimulation]

You're very welcome :). Thanks a lot for your generous donation. I also struggled for a long time for understanding the weak form derivations and their implementations. I am super happy that my approach in teaching is helpful. ❤️

[@SimaZahediFard]

You did a good job! Thank you very much! you explained in very simple way, how to work with Fenics which is a big help is for a lot of researchers!

[@MachineLearningSimulation]

Thanks a lot 😊 I'm very happy I could help. The videos are also helpful for me to solidify my knowledge. It's a win-win 😊

[@aliesmaeili6601]

Hi thank you so much for your great video series about FeniCs. Could you please update them with the updated version of Fenics?

[@MachineLearningSimulation]

You're very welcome 🤗 It is already on my To-do list. However, for now I want to focus on other topics. Might return to FEniCs in the next year 😊

[@driesvanoosten4417]

Can we also use fenics to solve the nonlinear heat equation, i.e. the case were the diffusivity depends on temperature?

[@MachineLearningSimulation]

I'm pretty sure this is possible. If you check out the fenics documentation you will find a section on solving nonlinear PDEs with newtons method.

[@minhaanees276]

YOU ARE EXPALINED IN A VERY GOOD WAY

[@MachineLearningSimulation]

Thanks for the kind words 😊 much appreciated.

[@kavoshgar9733]

Very useful for us, CES and SiSc students at RWTH and TUM. Vielen Dank:)

[@MachineLearningSimulation]

You're welcome :). Always happy to help out fellow CSE students.

[@kavoshgar9733]

@MachineLearningSimulation Actually your videos help a lot

[@mdAman-xq5ww]

I want to learn fenics for constitutive modelling of viscoelastic materials Can you suggest some sources to study fenics.

[@MachineLearningSimulation]

Hey, thanks for the comment 😊 I haven't used fenics for this use case yet, but I'm certain it is a good fit for solving any PDE. A good resource to start with fenics in general is the "fenics tutorial" by h.p. langtangen. The video series I have on fenics, is also inspired by it. For your particular use case it might also be helpful to search for GitHub repos in which people might have used fenics to solve a similar problem. This can be inspiring. Good luck learning fenics 👍 P.S.: also be aware that fenics is under heavy re-development at the moment, shifting towards "fenicsx" which has a slightly different interface

[@mdAman-xq5ww]

Thanks for replying your videos helps alot.....

[@MachineLearningSimulation]

@@mdAman-xq5ww You're welcome :). I'm super happy to help!

[@ghufranullahkhan7479]

Kindly make a video on phase field model for brittle material implementation in fenics.

[@MachineLearningSimulation]

Hi, thanks for the comment. :) I will note your idea down, but I am not too familiar with this topic. I might cover it in the far future.

[@MostafaMahmoud-wz6gx]

which is better for CFD and thrmal simulations: machine learning, data science, or AI? if I want to learn one of these which one you recommend the most?

[@quantitativefinance4103]

Openfoam C++

[@Michallote]

None of those to be honest. CFD is it's own thing. Combining any of the above is subject of ongoing research. Not for begginers.

[@MachineLearningSimulation]

The three terms you mentioned are quite close and could be described as data-based science. If you want to learn CFD and thermal simulations, it's best to start from mathematical modeling. In particular, for thermal simulations in solids, the heat PDE (as also discussed in this video) is a great start. I would recommend looking a bit at the analytical and the numerical treatment of it. Afterwards, you can slowly build up to the Navier-Stokes equations. As @Mich Gordilla pointed out, the combination of CFD with any of your mentioned data-driven disciplines is at the frontier of current research. It is definitely out of the scope for a beginner. I hope that answered your question a bit :). Feel free to ask a follow-up question if something is unclear.

[@icojb25]

Another great video - quick question, do the trial functions need to always be zero on the boundaries, or match the boundary values (on the boundaries). If they dont equal zero on the boundaries, what happens to the boundary term? It becomes like a source term maybe? Thanks again :clap

[@MachineLearningSimulation]

You're very welcome. I'm glad you enjoy the videos 😊 The trial functions are the prototype for the unknown in the weak form, so they should match the boundary conditions you prescribe to the unknown function in the PDE. I really like your question. It portrays some of the difficulties in boundary handling with CFD. I will probably have to take the time to give it a proper answer. Maybe also in a future video. Stay tuned 😉

[@icojb25]

@@MachineLearningSimulation Hi, thanks for the answer. Imade an error, i meant the >test< functions! the one that causes the first trm of the integration by parts to go to zero. Sorry.

[@Sclujan971]

Great video! I was wondering if one could specify custom (user-defined) trial and test functions with FEniCS

[@MachineLearningSimulation]

Thanks for the comment and the kind words :). I'm unsure. You probably have to consult the fenics documentation. Until now, I've never had the need for anything beyond the standard finite Elements.

[@habib-ur-rehmaan2532]

you explained to good, kindly also make videos on Laplace equations

[@MachineLearningSimulation]

Thanks a lot for the kind words ☺️ There will a video on the poisson equation soon .

[@maurobaldini4582]

Which editor are you using?

[@MachineLearningSimulation]

That's Visual Studio Code with the Python Extension. For the video, I only record the editor view.

[@Exarhadsgfds]

great video, thank you

[@MachineLearningSimulation]

You are welcome! 😊

[@osmanfb1]

thanks for the very nice video. Does "ansatz" mean "trial" ? I get confused. Thanks.

[@MachineLearningSimulation]

You're very welcome 😊 I'm glad you liked the video. Yes, that was a little unclear in the video. Here, those two can be considered the same

[@AJ-et3vf]

Great video! Thank you!

[@MachineLearningSimulation]

Glad you liked it!

[@extendedanthamma5687]

This was very useful!! Thank you so much!! Can you please make a video on how to solve helmholtz pde in BEMPP (boundary element method python package) for acoustic simulations?

[@MachineLearningSimulation]

Thanks for the kind comment ❤️ you're very welcome. I am not familiar with neither the Helmholtz pde, Nor the bempp package. As far as I see, this Helmholtz pde essentially is a poisson problem. Maybe you find this video of mine helpful: kzbin.info/www/bejne/hWjJaXVonLWticU

[@aiwithhamzanaeem]

Thank you so much dear, Now things are easy to understand.

[@MachineLearningSimulation]

You're welcome :). Thanks for the kind comment!

[@UncoveredTruths]

thank you:)

[@MachineLearningSimulation]

You're welcome!

[@minhaanees276]

PLEASE MAKE THE VIDEO POSSION EQUATION IN TWO DIEMENSION

[@MachineLearningSimulation]

There is already a coding tutorial available: kzbin.info/www/bejne/hWjJaXVonLWticU 😉

[@MachineLearningSimulation]

The derivations of the weak form for Poisson's equation is quite similar to those for structural mechanics. If you want more details, check out this one: kzbin.info/www/bejne/kF6pn4Noot6pgdk 😊

[@minhaanees276]

@@MachineLearningSimulation oo thank you 😊

[@minhaanees276]

Hi please makes a video in fenicsx

[@MachineLearningSimulation]

At a certain point, there will be, but I can't promise when. It is currently not on top of my interests. A big motivation for the channel, is just following my curiosity. If I stopped this, the channel would probably fade out. Hope you can understand that 😊

[@jimpal5119]

Second 😁

[@MachineLearningSimulation]

Nice! :) Good to have you back.

[@jimpal5119]

@@MachineLearningSimulation I see you did make a FE video. A suggestion I have , which i think might interest you , is Petrov -Galerkin methods for fluids. Or just Taylor-Hood element solutions of the Stokes problem. Anyways , excellent content as always!

[@MachineLearningSimulation]

@@jimpal5119 Yes, that's a great idea. A video on FEniCS for Navier Stokes is already in the making. In my schedule it's also the next one to be uploaded next week. Stay tuned ;)

[@jimpal5119]

@@MachineLearningSimulation Damn , did not expect that! Definitely looking forward to it!

[@mohammedjamoukha4503]

Hey, sehr starkes Video sind sie deutscher wenn ich fragen darf😅

[@MachineLearningSimulation]

Hi, danke für das Kommentar 😊 Genau, ich bin deutscher, merkt man leicht am Akzent, richtig?

[@osmanfb1]

I also suggest Gridap.jl as a much closer to the written math version of FEniCS.

[@MachineLearningSimulation]

That's a great suggestion. I've also been reading a little into their docs and might do a video about the library in the future 👍

[@pedramnoohi2715]

excellent video, thank you for this!

[@MachineLearningSimulation]

You're very welcome!