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How to use the Finite elements method with Mathematica?

Posted 9 years ago
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Hi Every one,

I'm actually trying to solve numerically some 3D Partial Differential Equations, such as the heat equation for example. Thus I wanted to use the Finite Elements Method for that.

So I had a look on the wolfram tuto:

If I understood well, I need first to download the [NDSolve'FEM'] package, don't I ? So I tried: Needs["NDSolveFEM"]

But each time I try I got an error message :

Get::noopen: Cannot open NDSolveFEM. >> Needs::nocont: "Context \!(\"NDSolveFEM\") was not created when Needs was evaluated."

Does that means that this package is not included with Mathematica? (I'm using the 8.0.4 version) Do I need first to download this package from the internet? If yes do you know where I can find it, because I could not fin it anywhere -_-

Because this package I cannot even solve the first example of the tuto :/ uif = NDSolveValue[{Laplacian[u[x, y], {x, y}] == 0, u[x, 0] == 0, u[x, 1] == 1, u[0, y] == 0, u[1, y] == 0}, u, {x, 0, 1}, {y, 0, 1}]; Plot3D[uif[x, y], {x, 0, 1}, {y, 0, 1}, ColorFunction -> "TemperatureMap"] (Nothing's plotted when I type the same text of the tuto)

Thanks for your help!

PS: I know that this is certainly not the first time that this question is asked but trust me I tried to find it on the forum and I couldn't fin anything. Also I'm not an informatic expert and english is not my native language so yeah I might have missed some points which may sound obvious for you ^^

2 Replies

Erf, I don't have a licence for this one snif -_- Thanks for your answer :)

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