The Finite Element Method (FEM) - A Beginner's Guide

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  • Опубліковано 27 лис 2024

КОМЕНТАРІ • 157

  • @JousefM
    @JousefM  4 роки тому +17

    🎓 My Science Courses - courses.jousefmurad.com/
    ✍️ Latest blog posts: jousefmurad.com
    📥 My Newsletter - jousef.substack.com/
    Time Stamps
    ----------------------
    0:00 - 0:12 : Intro
    0:13 - 0:36 : Agenda
    0:37 - 4:40 : History of the FEM
    4:41 - 5:41 : What is the FEM?
    5:42 - 6:12 : Why do we use FEM?
    6:13 - 6:43 : How does the FEM help?
    6:44 - 9:14 : Divide & Conquer Approach
    9:15- 9:26 : 1-D Axially Loaded Bar
    9:27 - 13:24 : Derivation of the Stiffness Matrix [K]
    13:25 - 14:09 : Global Assembly
    14:10 - 14:44 : Dirichlet Boundary Condition
    14:45 - 15:00 : Neumann Boundary Condition
    15:01 - 16:12 : Element Types
    16:13 - 16:33 : Dirichlet Boundary Condition
    16:34 - 16:46 : Neumann Boundary Condition
    16:47 - 17:06 : Robin Boundary Condition
    17:07 - 18:13 : Boundary Conditions - Physics
    18:14 - End : Outlook & Outro

    • @humane11
      @humane11 4 роки тому

      hey bhaijaan, PLEASE PLEASE PLEASE MAKE A VIDEO soon on the future of Finite element method/ Computer aided Engineering , is it gonna die or demand gonna decrease drastically due to Artificial intelligence, in the upcoming 5-10 years ??
      Please make a detailed specific video...

    • @JousefM
      @JousefM  4 роки тому +1

      @@humane11 I cannot predict the future but something I can definitely cover soon. :)

    • @humane11
      @humane11 4 роки тому +1

      @@JousefM eagerly waiting for it !

  • @abrorabyyu6221
    @abrorabyyu6221 4 роки тому +39

    I'm always loved someone who tell history before explaining content

    • @JousefM
      @JousefM  4 роки тому +2

      Appreciate it buddy :)

    • @karmayogi1439
      @karmayogi1439 2 роки тому

      Same here

    • @karmayogi1439
      @karmayogi1439 2 роки тому

      Same here

    • @w.k8624
      @w.k8624 2 роки тому

      ​@@JousefM why you are showing direct stiffness method, and not telling it is direct stiffness method.

  • @jorgealejandroaguirrelara
    @jorgealejandroaguirrelara 3 роки тому +7

    Of all videos I've watched about FEM, for me this was the easiest to fllow. Thank you for this great and clear explanation!!!

    • @JousefM
      @JousefM  3 роки тому +1

      Thanks my friend, appreciate it 🙂

  • @smurface549
    @smurface549 3 роки тому

    I can't understand why this video doesn't have more views. It's a concise introduction to FEM and easy to follow along.

    • @JousefM
      @JousefM  3 роки тому

      Thanks mate :)

  • @saleemjaveed6226
    @saleemjaveed6226 4 роки тому +14

    Great effort Jousef. Waiting for more upcoming videos with lil more indepth topics like hourglass, shear locking instability of elements, negative volume, and common errors while running the analysis.
    Thanks.

    • @JousefM
      @JousefM  4 роки тому +1

      Appreciate it Saleem 🙂 Stay tuned my friend!

  • @nouraldeenalmalohe2644
    @nouraldeenalmalohe2644 2 роки тому

    شكرا لك
    من أبسط وأوضح الشروح التي شاهدتها

  • @nikkig1146
    @nikkig1146 4 роки тому +2

    Thanks for this clear and helpful video! I like that you focus on the mathematics of FEM because some other videos do not go into that much detail.

    • @JousefM
      @JousefM  4 роки тому

      Thanks a lot :) there’s more to come on fem maths soon

  • @ginersergioadrian1489
    @ginersergioadrian1489 2 роки тому +1

    Excellent, clearly explained. My goal is to apply FEM to Chemical Engineering problems, but so far I have not found a course or a book that I can understand, even when I am a PhD in simulation!. I hope with your classes I would be able to improve. Thanks very much

    • @JousefM
      @JousefM  2 роки тому

      Thanks Giner my friend! As for courses I’m working on general ones in the beginning and go also for things such as OpenFOAM or SimScale. Make sure to follow me on my socials. My learning Academy will go live in a few days :)

  • @shreyanshajmera6297
    @shreyanshajmera6297 4 роки тому +4

    Really good introduction to FEA for someone who already has some background about it. I hope you will get into mathematics with this same ease. Wishing you all the best for all upcoming videos.

    • @JousefM
      @JousefM  4 роки тому

      Will do my best Shreyansh, thanks for your kind words! A dedicated series on Linear Algebra is planned :)

    • @shreyanshajmera6297
      @shreyanshajmera6297 4 роки тому

      @@JousefM I was talking about FEA mathematics. Well good that you are thinking of Linear Algebra as well. Also you mentioned Gilbert Strang, so till now his videos are the best place for me for Linear Algebra.

    • @JousefM
      @JousefM  4 роки тому +1

      We need a bit of Linear Algebra but FEM maths will follow I know what you mean, like weak form etc. - Gilbert is the best, will be very Hard to beat the quality!

  • @A5Gold
    @A5Gold 4 роки тому +2

    Great Video! Can't wait for the next one on FEM.

    • @JousefM
      @JousefM  4 роки тому

      Thank you David :) Stay tuned!

  • @salsabilahmedshrestho960
    @salsabilahmedshrestho960 Рік тому

    Absolutely fantastic video joseph. I always want to know some historical background so that I can appreciate that subject more. Thank you so much for arranging all of the data so neatly in one video. Please don't delete this video ever.

  • @sudmudmud357
    @sudmudmud357 8 місяців тому

    How fantastic is this video. I wished they taught this at university 15 years ago ….

  • @markomarkomarko
    @markomarkomarko 4 роки тому +4

    Good video. Errors are always very useful to learn about.

    • @JousefM
      @JousefM  4 роки тому

      Already on my to-do list! :) Thanks for your comment mate - stay tuned and feel free to invite your friends as well! Enjoy your weekend!

  • @MrBLAZE707
    @MrBLAZE707 4 роки тому +6

    Danke dir für die ganz einfach erklärt :)

    • @JousefM
      @JousefM  4 роки тому

      Danke Yousef! :) Es kommt noch mehr, stay tuned!

  • @alihaider5027
    @alihaider5027 Рік тому

    Thank You SO Much Jousef, An excellent piece of information in a very organized manner. Thank You!

  • @subashchandarn6667
    @subashchandarn6667 4 роки тому

    Video was very helpful in understanding the basic working of FEM as a newbie to FEM .I appreciate your efforts in making this video and I expect more videos in this FEM series

    • @JousefM
      @JousefM  4 роки тому +1

      Thanks a lot :) there’s more to come!

  • @xaverpfk
    @xaverpfk 2 роки тому

    Very good overview about FEM. Thanks!

  • @ThivaSiva
    @ThivaSiva 9 місяців тому

    I searched alot about finite element on you tube , this only provides me required information.If possible please upload some more about finite element analysis.Thank you

  • @goaheadskinit
    @goaheadskinit 2 місяці тому

    Great video. Thank you!

  • @mukulbondade9559
    @mukulbondade9559 Рік тому

    Amazing video Jousef, keep it going, these videos are very interesting

  • @ingGS
    @ingGS 3 роки тому +1

    This was a beautiful introduction. Keep uploading videos!

    • @JousefM
      @JousefM  3 роки тому +1

      Appreciate your kind words my friend 👊

  • @MDougan98
    @MDougan98 4 роки тому +1

    Clear and concise, thanks very much!

    • @JousefM
      @JousefM  4 роки тому

      You’re welcome! 🙂

  • @LaraxHUN16
    @LaraxHUN16 4 роки тому +4

    Fantastic video, keep it up! :)

    • @JousefM
      @JousefM  4 роки тому +1

      Thanks a lot bro :) Appreciate your comment!

  • @shihanjanith1804
    @shihanjanith1804 4 роки тому

    Nice one.this video is my first step on finite element world . Got a good idea about it..thankz again.👍👍

    • @JousefM
      @JousefM  4 роки тому +1

      Sure :) new podcast on FEM dropping in a few hours. Stay tuned!

  • @insertnamehere3836
    @insertnamehere3836 4 роки тому +2

    Thank you for this video! Really excellent tutorial

    • @JousefM
      @JousefM  4 роки тому +1

      Thanks a lot, really appreciate it!

  • @OlliLukkari
    @OlliLukkari 4 роки тому +3

    Great video, thank you! Subscribed!

    • @JousefM
      @JousefM  4 роки тому

      Thanks Olli! Appreciate it :)

  • @artyquantum7283
    @artyquantum7283 4 роки тому +1

    Your way of teaching is really great.
    Can you please provide some example using calculations of actual function like e.g:
    f(x, t) = x^t etc. or a simple differential equation like a wave motion.
    And for next lesson if you can extend it to a 3D lattice approximation that would be awesome.

    • @JousefM
      @JousefM  4 роки тому +1

      Appreciate it! And for these specific topics it might take a bit but I’ll definitely write that down on my to-do list 😌

    • @artyquantum7283
      @artyquantum7283 4 роки тому

      @@JousefM Thanks a lot :)

  • @btyan1
    @btyan1 4 роки тому +2

    Nice Video on FEM

    • @JousefM
      @JousefM  4 роки тому

      Hi Yannick, thanks a lot my friend! Stay tuned for more and make sure to activate the notification bell :)

  • @ihebchouikh9816
    @ihebchouikh9816 4 роки тому +3

    Nice video ,thank you :)

    • @JousefM
      @JousefM  4 роки тому +1

      Thanks a lot my friend! :)

  • @gregdtlite7106
    @gregdtlite7106 4 роки тому +1

    very nice job, continue your work!!!

    • @JousefM
      @JousefM  4 роки тому

      Thanks a lot :)

    • @olevel_maths1470
      @olevel_maths1470 3 роки тому

      FEM video 01 - Introduction and bar element
      ua-cam.com/video/UHRoz2nioSU/v-deo.html
      FEM video 02 - Bar element example
      ua-cam.com/video/6tKHH8zptBY/v-deo.html
      FEM video 03 - beam element
      ua-cam.com/video/zioGBMtq2PA/v-deo.html
      FEM video 04 - beam element example 01
      ua-cam.com/video/zioGBMtq2PA/v-deo.html
      FEM video 05 - beam element example 02 with UDL
      ua-cam.com/video/ZSSSXRd0FcQ/v-deo.html

  • @ayyappajammula730
    @ayyappajammula730 4 роки тому +2

    Good information 👌👌
    Thanks

    • @JousefM
      @JousefM  4 роки тому

      Thanks my friend :)

  • @Arman-go6mo
    @Arman-go6mo 4 роки тому +1

    Thanks a lot Jousef. may I know when will you upload the videos covering the topics which you mentioned at the end of this video ?

    • @JousefM
      @JousefM  4 роки тому

      Hey Arman!
      Actually my viewers decide that. If you follow me on my socials, you might have seen that I am currently working on a small Cousera "Guided Project" which I will release soon, that will be FEA for absolute beginners. In the upcoming guided projects, I will include some of the topics listed at the end of the video. If you want to stay up-to-date with my progress there, either follow me on Instagram and/or Twitter :)

  • @gregreilly326
    @gregreilly326 2 роки тому +1

    Thanks for this excellent video. In your example of a 1-d axially loaded bar, I expect what ultimately you want to find is the displacements {u}, right? In on your equation [K]{u}={F}, you know [K] but you don't know {F}, and you're trying to find {u}, so don't you have too many unknowns? If possible I'd like a simple example where you get numeric answers, not just a relationship between {u} and {F}. If I know F4, can I write F2 and F3 in terms of F4, something like F3=-F4 and F2=-F3? Then I know all the Fs, and I can solve for {u}. Is that how you could use this equation?

    • @JousefM
      @JousefM  2 роки тому +1

      Can do! A draft is currently on my website - hope to push it live in a couple of days/weeks

    • @gregreilly326
      @gregreilly326 2 роки тому

      @@JousefM Looking forward to it. Thanks!

    • @JousefM
      @JousefM  2 роки тому

      Here's one blog post: www.jousefmurad.com/fem/the-finite-element-method-derivation-discrete-system-1/ - an arithmetic example will follow.

  • @sandrotorres1298
    @sandrotorres1298 4 роки тому

    Awesome! Please keep doing what you do. God bless!

    • @JousefM
      @JousefM  4 роки тому

      Thanks a lot for your kind words Sandro :)

  • @andrenedaei965
    @andrenedaei965 4 роки тому +1

    Very nice video and good explanation. I could not find your next video about other topics such as singularity,Linear and Non-linear?, Would you be able to send a link here?

    • @JousefM
      @JousefM  4 роки тому +1

      These were all suggestions from my side but I will definitely will work on them soon :) I am planning to release a course on FEM soon so stay tuned for that as well :)

    • @andrenedaei965
      @andrenedaei965 4 роки тому

      Great Jousef and I am looking forward to participating in the course.

  • @atefrod680
    @atefrod680 2 роки тому +1

    Where can the follow up videos be found? Very informative video btw!

    • @JousefM
      @JousefM  2 роки тому

      In planning! Currently working on more Coursera courses and my own ones, but I have already my video production list for FEA ready. What would you be personally interested in?

    • @atefrod680
      @atefrod680 2 роки тому

      @@JousefM Im currently studying mechanical engineering and would like to obtain a more fundemental understanding of FEM. But also get familiair with ots limitations.

  • @realisticmonk804
    @realisticmonk804 4 роки тому +3

    Very informative. Is there any MS program for FEM specifically or perhaps a course.

    • @JousefM
      @JousefM  4 роки тому +2

      Are you a beginner? The upcoming videos from me will definitely help you out, I planned a course for the future with applications as well as programming exercises which does not exist in that sense so far. Let me know what you think!

    • @realisticmonk804
      @realisticmonk804 4 роки тому

      @@JousefM thank you for a quick reply. Actually I am working in preprocessing stage as meshing, connection and assembly of full vehicle for crash domain for 2 years. I wanted to know if any specific MS program is there.

    • @JousefM
      @JousefM  4 роки тому

      @@realisticmonk804 For crash simulatin in general I would recommend LS-Dyna, they are quite famous in that field and companies like Porsche use their software to simulate crash tests.

    • @realisticmonk804
      @realisticmonk804 4 роки тому

      @@JousefM I am waiting for your next video

    • @JousefM
      @JousefM  4 роки тому

      @@realisticmonk804 Thanks for being such an active subscriber :) I already uploaded another one about 2nd order differential equation and how to solve it in MATLAB. By the way, I have started a poll which you can find on my channel in the "Community" tab. Feel free to vote what you want to see next! :)

  • @CMEAcademyforPPSC_FPSC
    @CMEAcademyforPPSC_FPSC Рік тому

    Really good review

  • @sriti_hikari
    @sriti_hikari 4 роки тому +4

    Find's super!

    • @JousefM
      @JousefM  4 роки тому +1

      Thanks! ♥️

  • @MachineLearningwithPhil
    @MachineLearningwithPhil 4 роки тому +1

    Just seeing this now. Comment and like for that ALGO.

    • @JousefM
      @JousefM  4 роки тому

      Thanks a ton Phil, appreciate it mate! :)

  • @tarangmehta4335
    @tarangmehta4335 4 роки тому +3

    Hi, currently i am studying FEM but i am also suggested by professor to look into thermoelasticity problem... Can you suggest me some sources?

    • @JousefM
      @JousefM  4 роки тому +1

      Nice topic Tarang! I think that this here is a good start: ethz.ch/content/dam/ethz/special-interest/baug/ibk/structural-mechanics-dam/education/femII/presentation_09_thermomechanics_v2.pdf - I can see if I find some good books that I could recommend.

    • @tarangmehta4335
      @tarangmehta4335 4 роки тому

      Thanks Jousef... Its so nice of to reply this soon... I will definitely look to this presentation... And also eagerly waiting for your next videos so as to revise my FEM...

    • @JousefM
      @JousefM  4 роки тому +1

      @@tarangmehta4335 Thank you very much mate, appreciate your support :)

  • @richardbrewin4936
    @richardbrewin4936 4 роки тому +1

    Can you create an FEA report from an engineered blueprint? I have a couple of pieces of equipment I’d like to get a report on

    • @JousefM
      @JousefM  4 роки тому +1

      Could you contact me via email please? Send a request to engineeredmindbusiness@gmail.com

  • @seifsalem2484
    @seifsalem2484 3 роки тому

    amazing video put i want to understand some abbreviations
    what is U stands for and the L ?
    epsilon

    • @JousefM
      @JousefM  3 роки тому

      Good point Seif!
      u = displacement
      L = Length of the beam
      epsilon = strain
      For more details, have a look at this page: www.engineeringarchives.com/les_mom_truestresstruestrainengstressengstrain.html#:~:text=Engineering%20strain%20is%20the%20amount,length%20as%20given%20by%20Eq4.

  • @vinven7
    @vinven7 3 роки тому

    Loved the video Jousef. Clearly explained. What is the model of the skull you showed in the video - the one with a circle in the middle of the forehead?

    • @JousefM
      @JousefM  3 роки тому

      Thanks Vineeth! That’s a fem simulation of a skull with and without a helmet which you can find in SimScale’s public projects. :)

  • @patelpavan5479
    @patelpavan5479 Рік тому

    Which method is best for boundry value problem fem or fdm

  • @afaqahmed7591
    @afaqahmed7591 4 роки тому

    HI Murad. Very well described video. When is the next video coming if I may ask? cheers

    • @JousefM
      @JousefM  4 роки тому

      Plenty in the pipeline - as I am currently finishing up my first coursera course I’m a bit behind for videos. What would you personally like to see? :)

    • @afaqahmed7591
      @afaqahmed7591 4 роки тому +1

      @@JousefM thanks for your reply.. I would love to see more videos related to FEM

    • @JousefM
      @JousefM  4 роки тому +2

      Sure! Planned 😌

  • @zss8290
    @zss8290 3 роки тому

    Moin, Jousef, also habe ich mich schon bei Cousera an Ihre Projekt teilgenommen, aber welche Kontaktmedien ist besser, wenn ich Frage zu dem detalisierte Dinge des Projekts Ihnen stellen könnte? Also Hilfe brauche. Danke schön! :)

    • @JousefM
      @JousefM  3 роки тому

      Moin und danke :)
      Am Besten über Instagram oder Twitter. Versuche dann so schnell wie möglich zu antworten! :)
      🐦 Twitter: @jousefm2 // twitter.com/Jousefm2
      📸 IG: instagram.com/jousefmrd/

  • @timeajozsa3806
    @timeajozsa3806 3 роки тому

    Did you cover the other topics mentioned at end of the video. I cannot find more videos related to FEA. I would be interested in some of the topics, hourglass, shearlocking, manage projects etc.

    • @JousefM
      @JousefM  3 роки тому

      Coming in the future. Getting back to more theoretical videos from FEA,CFD and AI :)

  • @IndranilBiswas-eq4yw
    @IndranilBiswas-eq4yw 4 місяці тому

    nice man

  • @mechsavvy1
    @mechsavvy1 3 місяці тому

    How to access other videos ?

  • @nishantmarkad4519
    @nishantmarkad4519 2 роки тому

    linear vs non-linear please

  • @md.sarowarhossainrana4787
    @md.sarowarhossainrana4787 Рік тому

    Don't we need weak form for discrete system?

  • @marytheraspberry3145
    @marytheraspberry3145 Рік тому

    Hello Mr. Jousef.
    I'm taking the coursera course that you made about FEA, and in the tuto, you clicked a switch that activated 2nd order meshing.
    I can't find that option though. Maybe there was a simscale update and they removed that.
    What do I do instead to get second order meshing?

    • @JousefM
      @JousefM  Рік тому

      Check out their documentation

    • @marytheraspberry3145
      @marytheraspberry3145 Рік тому

      @@JousefM I haven´t found any article in the documentation about it.
      Recently, I clicked the event log of what you labeled Mesh Linear and it indicated it was 2nd order.
      So now I will need to set a first order mesh, but I don´t know how, since the order is automatic.

    • @JousefM
      @JousefM  Рік тому

      @marytheraspberry3145 the forum helps! 🙂

  • @longnguyenbuitien3521
    @longnguyenbuitien3521 2 роки тому

    Hi, thank you for your video.
    I am a newbie in CAE and I want to learn more about FEM/CFD. So, can you recommend for me some courses teaching FEM/CFD basics?
    Thank you so much.

    • @JousefLITE
      @JousefLITE 2 роки тому +1

      Sure thing mate! :) Thanks for watching.
      I can recommend my small Coursera courses for hands-on projects: www.coursera.org/instructor/jousefmrd - these do not go into much theoretical details. I can recommend the courses from Lukasz Skotny or Dominique Madier, experts in their field and very good teachers!
      I am working on a CAE Masterclass as well as separate CFD & FEM courses here: academy.jousefmurad.com/ - sign up for the course newsletter, no spam :)

    • @longnguyenbuitien3521
      @longnguyenbuitien3521 2 роки тому

      @@JousefLITE thank you. I'll explore it right now.

    • @JousefM
      @JousefM  2 роки тому

      Cool! And let me know if you’d want to see something special in the course such as a topic or concept explained
      Support@jousefmurad.com

  • @Danaili6i
    @Danaili6i 4 роки тому +5

    Nice video! Did you study/work in Germany? It looks/sounds like it at least! Freundliche Grüße :)

    • @JousefM
      @JousefM  4 роки тому +1

      Thanks a ton for your feedback, really appreciate it! Yes I work and study in Germany :)
      Not sure if that’s a good thing if you can hear that 😄😋

    • @Danaili6i
      @Danaili6i 4 роки тому +1

      @@JousefM Mach dir kein Stress, hat nichts mit Deutsch Akzent zu tun ;) Ich hab selber Maschinenbau in Deutschland studiert...Deine Erklärungen hören sich bekannt an :)

    • @JousefM
      @JousefM  4 роки тому

      @@Danaili6i Ah verstehe ;-) Wo hast du studiert? Nicht zufällig am KIT, oder? :D

  • @stauffap
    @stauffap 3 роки тому

    I think i need simple examples that we can solve by hand to really understand this (for a simple grid). Is that even possible for very simple systems. Maybe solving at least for one timestep?

    • @JousefM
      @JousefM  3 роки тому +1

      Good point! You don’t even need it in terms of time steps but can solve easy FEM systems by hand. Will prep something for the future - stay tuned! 🙂

    • @stauffap
      @stauffap 3 роки тому

      @@JousefM
      Thanks for the reply! Well, i was talking about CFD mainly. I don't understand yet how i would solve some form of the navier stokes equation to go from some initial condition to the condition after one timestep (in a small 2D grid).

    • @JousefM
      @JousefM  3 роки тому

      Ah got you! Thought because you were commenting on the FEM video you also were referring to it :)
      But definitely possible to do that. The easiest and most intuitive way would probably to explain this with Finite-Differences

  • @MecaByte
    @MecaByte 3 роки тому

    History of FEM without mentioning Boris Galerkin !?

    • @JousefM
      @JousefM  3 роки тому

      Next time 🙂 so many people involved I think the history of FEM needs its own video!

    • @MecaByte
      @MecaByte 3 роки тому

      @@JousefM Can't agree more, nice video though by the way

    • @JousefM
      @JousefM  3 роки тому

      Thanks buddy!! 🙂

  • @sarowarhossain9029
    @sarowarhossain9029 Рік тому

    Where is the next video?

  • @deepjyoti9499
    @deepjyoti9499 3 роки тому

    Simscale use CodeAster for FEA.

    • @JousefM
      @JousefM  3 роки тому +1

      That’s running in the back, correct :)

  • @bravindra4138
    @bravindra4138 2 роки тому

    Can you pin the link for the other videos which follows this. Unable to find the playlist

    • @JousefM
      @JousefM  2 роки тому

      That’s the only FEM video I have so far. More to come soon 🙂 I’m finishing up coursera courses at the moment on using SimScale for FEA and CFD. Stay tuned mate!

    • @bravindra4138
      @bravindra4138 2 роки тому +1

      Ok!!
      A complete course on FEM and CFD may help.

    • @JousefM
      @JousefM  2 роки тому

      Coming over at academy.jousefmurad.com soonish 🙂😎

  • @BahaaAbdElBaset14
    @BahaaAbdElBaset14 4 роки тому +1

    1.30

    • @JousefM
      @JousefM  4 роки тому

      Is that the time stamp you mean Bahaa? If so, I assume you want to learn more about how to construct shape functions? :)

  • @Oscar-jg9gg
    @Oscar-jg9gg 4 роки тому

    why do we use it... why do we have it?

    • @JousefM
      @JousefM  4 роки тому

      Approximation method to solve partial differential equations - imagine you do a crash test, way too inefficient to do hundreds of crash tests and there is simply no analytical solution for a deformation of a crash per se. Radical but very easy to understand example :)

  • @abrorabyyu6221
    @abrorabyyu6221 4 роки тому

    In 9:11 why you put 4 nodes? Why don't 2 or 6 nodes?

    • @JousefM
      @JousefM  4 роки тому +1

      You could use as many nodes as you want. The more nodes you use, the better the accuracy but you need more time to compute the solution.
      If you use less, you have a less accurate solution but you're faster. For showing how the FEM system works a low number of nodes make sense then you can actually see how easily the matrices can be assembled (assembling process := putting the individual systems together).

    • @abrorabyyu6221
      @abrorabyyu6221 4 роки тому

      @@JousefM thank you, actually i am waiting your content. Cause in here just clicking software fem mindlessly without understanding concept

    • @JousefM
      @JousefM  4 роки тому +1

      @@abrorabyyu6221 Coursera mini course (called "Guided Project" for absolute beginners) is in production, hopefully finished soon :) Stay tuned. Make sure to follow me on Twitter & Instagram where I keep my followers posted about latest updates, course creations etc.

  • @w.k8624
    @w.k8624 2 роки тому

    This is direct stiffness method, not Finite element method.

    • @JousefM
      @JousefM  2 роки тому

      DSM is the beginning of FEM and part of it.

  • @MjahedTV
    @MjahedTV 4 роки тому +3

    Kmfdag

    • @JousefM
      @JousefM  4 роки тому

      Danke dir Bruder!

  • @humane11
    @humane11 4 роки тому

    hey bhaijaan, PLEASE PLEASE PLEASE MAKE A VIDEO soon on the future of Finite element method/ Computer aided Engineering , is it gonna die or demand gonna decrease drastically due to Artificial intelligence, in the upcoming 5-10 years ??
    Please make a detailed specific video...

    • @JousefM
      @JousefM  4 роки тому +1

      Good question! :) Might come in the future!

    • @humane11
      @humane11 4 роки тому +1

      @@JousefM please make it soon brother... I know you're busy in podcasts, but please make a room for this topic soon in your list of podcasts/videos ....maybe arrange a podcast including all these questions with Mr. Lukasz Skotny