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Search: Posts Made By: Vasilis
Forum: Main CFD Forum October 29, 2009, 08:56
Replies: 8
Views: 2,060
Posted By Vasilis
If I know this boundary curve, cann't I...

If I know this boundary curve, cann't I substitute y by f(x) in the integrand, multiply the integrand by y'(x) and then integrate over x?
Forum: Main CFD Forum October 29, 2009, 08:08
Replies: 8
Views: 2,060
Posted By Vasilis
Here is an interesting question: When one...

Here is an interesting question:

When one uses any kind of mapping, one can transform the double integral from dxdy to |J|dx'dy',

where |J| is the determinant of the Jacobean matrix, dx' and...
Forum: Main CFD Forum October 26, 2009, 06:12
Replies: 8
Views: 2,060
Posted By Vasilis
This type of mapping is similar to the one I...

This type of mapping is similar to the one I wrote. The only difference is that you omitted the term xx_i * S_i. I tried to use this mapping, and although I got the correct solution, the slope is...
Forum: Main CFD Forum October 23, 2009, 10:52
Replies: 8
Views: 2,060
Posted By Vasilis
Well, I need to clarify one thing. Based on you...

Well, I need to clarify one thing. Based on you notation, the u_i and ux_i are both unknowns that we need to solve for. This means that if each element has 2 nodes, we have 4 unknowns (2 for u_i and...
Forum: Main CFD Forum October 22, 2009, 10:20
Replies: 8
Views: 2,060
Posted By Vasilis
Need help to use Hermite basis functions

Dear all,

I am trying to solve a fairly simple test case problem with Hermite basis function and FEM.
Lets suppose that F_i is the set of basis functions, and this set is comprised of two sets:...
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