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finite element methods

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I can't find method to produce a finite element of a bar using a a part of sin or cos as function.

I have the linear solution but it doesn't help me.

After founding the method i have to produce the algorithm in Mathematica for that.

 

Can anybody help me please?

So if I got this right you want to implement an element with a trigonometric shape / interpolation function for a 1D problem ... what sort of a problem are you working on (PDE you're solving and so forth)? You can either derive the required eqs using a direct variational approach or a general Galerkin approach depending on the type of problem you're up against, if you can provide some further information on the PDE and your problem I might be able to give some pointers & references.

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