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Finite Element Method 2D and 3D

lramoslima
8-Gravel

Finite Element Method 2D and 3D

Hello everyone !

Someone can provide examples of finite element analysis calculations using 2D and 3D elements. If anyone has experiences with this type of calculation please help me.

Thanks !

19 REPLIES 19

Is it one 2D example of FEM&

18-10-pdesolve-error[1].png18-11-Pde-Plate-Progr[1].png18-12-Counter-Plot[1].png

Hi,

 

Mathcad has a e-book called "Finite Element Beginnings" by D. A. Pintur.  This is an introduction you could use.

 

Cheers

Tezza

-MFra-
21-Topaz II
(To:lramoslima)

I Iramoslima,

the argument, as you know, is vast and complicated. I give you an outline about the difference method theory which is almost similar to the one on finite elemets method, to get an idea of what it is. I add some examples, of which some are downloaded from the community. I forgot to tell you that some results must be verified since they are not copied by some text.

1)pde1.jpgpde3.jpgpde4.jpgpdex.jpgpdey.jpgpdez.jpg

pde5.jpgpde6.jpgpde7.jpg

Greetings

FM

 

 

 

 

-MFra-
21-Topaz II
(To:-MFra-)

pde8.jpg

-MFra-
21-Topaz II
(To:-MFra-)

pde9.jpg

-MFra-
21-Topaz II
(To:-MFra-)

It would be more correct to write so:

pde5 correction.jpg

-MFra-
21-Topaz II
(To:-MFra-)

Errata corrige:

pde7.jpg

-MFra-
21-Topaz II
(To:-MFra-)

Hi,
do you have any questions?

 

-MFra-
21-Topaz II
(To:-MFra-)

pde10.jpgpde11.jpgpde12.jpgpde13.jpg

-MFra-
21-Topaz II
(To:-MFra-)

pde14.jpg

-MFra-
21-Topaz II
(To:-MFra-)

pde2.jpg

-MFra-
21-Topaz II
(To:-MFra-)

pde15.jpgpde16.jpgpde17.jpgpde18.jpg

-MFra-
21-Topaz II
(To:-MFra-)

Errata-corrige:

pde16 correction.jpg

-MFra-
21-Topaz II
(To:-MFra-)

Hi,

when working with partial differential equations we can  replace partial derivatives with finite differences approximations as previously seen. If we opt for finite element method, we must seek an approximation w to the unknown function like this:

 approximation.jpg

where P(x) is a prescribed function (basis functions or trial functions or shape functions) and unknown coefficients u.

rgunwaldsen
15-Moonstone
(To:-MFra-)

This has been a very interesting and informative thread. You have done a great deal of work. However, it is difficult to follow the content in the large images. Would you be willing to post the worksheets?

-MFra-
21-Topaz II
(To:rgunwaldsen)

Answer to:answer 12.jpg

I'm sorry but it's not possible.

If you have support, look for article "CS173039" Finite Element Beginnings. I haven't gone through the course myself but it might be worth checking out.

By the way, the content of this web page can be viewed in the attached PDF file.

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