Shape function of P1isoP2/P2 triangle element

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 October 7, 2000, 00:19 Shape function of P1isoP2/P2 triangle element #1 Fengchan Cao Guest   Posts: n/a Dear All. Could you recomend me a source (book or article) with detail of the shape function of P1isoP2/P2 triangle element that used in N3S software. Thanks

 October 7, 2000, 00:23 Re: Shape function of P1isoP2/P1 triangle element #2 Fengchan Cao Guest   Posts: n/a Dear All, Sorry, that should be P1isoP2/P1 triangle element Thanks

 October 8, 2000, 14:27 Re: Shape function of P1isoP2/P1 triangle element #3 Sebastien Perron Guest   Posts: n/a The report on N3S code is a good reference: Chabard J.P., Projet N3S de mecanique des fluides, manuel theorique - version 2.0. HE-41/88.09. 1989 EDF. But these shape functions can be described very easily (from Burnett): On each triangle, The shape functions for P1 approximation are the following: uj(x,y)=(aj+bj*x+cj*y)/2Delta, j=1,2,3 aj=xk*yl-xl*yk bj=yk-yl cj=xl-xk delta=area on triangle and the subscripts j,k,l have the values 1,2,3 for u1 and are permuted cyclically for u2 and u3. Here, u can be any functions (velocity, pressure). For P1isoP2/P1, the pressure is interpolated on the big triangles. These triangles are splitted into four triangles and the velocity is interpolated on each of these triangles.

 October 8, 2000, 20:25 Re: Shape function of P1isoP2/P1 triangle element #4 Fengchan Cao Guest   Posts: n/a I see. Thank you very much!

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