8.3.4-PDEs: Finite Element Method: Element Equations Part 2

These videos were created to accompany a university course, Numerical Methods for Engineers, taught Spring 2013. The text used in the course was "Numerical Methods for Engineers, 6th ed." by Steven Chapra and Raymond Canale.

[@MeOuda]

I think you made a mistake at 2:45 when you was deriving du and v. You should move dx from v to du so that
du=d/dx (Ni).dx
v=dT/dx (without dx)

[@MB-bs3kt]

Yes. And I think at 4:10 the du in the integral is missing a derivation because at 9:00 the derivation appears in the integral.
I think I will take a look into the book. :-P

[@MB-bs3kt]

1. Thank you for your efforts and thank you for uploading those videos! Really appreciate it.
2. at 9:00 you give the derivations of the basis functions N1 and N2. Where do this derivations come from?

[@ricovanonselen]

Dude, this is so good. Thanks for your video's!

[@islamelbaz7232]

Thanks, Jacob

[@hamdacheabderrazaq1787]

You can give me the book you used for this explanation

[@kvyi]

It is listed in the video description.

[@hamdacheabderrazaq1787]

thanks a lot for your help

[@petruccioli]

i really cannot get that form of the element stiffness matrix, doing integral comes up that (x2-x1) multiplies the matrix, and not divide it!!! please help!
very thanks for the nice work anyway !

[@kvyi]

+Andrea Loforte Look at the first term. For i=1, we have the integral from x1 to x2 of (T1-T2)/(x2-x1)^2 dx. Integrating, we get 1/(x2-x1)^2*(T1-T2)*(x2-x1). The (x2-x1) that multiplies cancels out one of the (x2-x1) terms, resulting in 1/(x2-x1)*(T1-T2).