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Topic: Integral of a scalar over a triangle.
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Posts: 9
Registered: 1/2/09
Integral of a scalar over a triangle.
Posted: May 24, 2011 4:18 PM
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Given the vertex locations of the triangle (x1,y1,z1), (x2,y2,z2), (x3,y3,z3) and the values of u(x,y,z) at the vertices, u1,u2, u3, find the most accurate expression for the integral of u over the triangle. The 3 vaules u1, u2 and u3 are all one knows about u.

Is (u1+u2+u3)*A/3, where A is the area of the triangle the best you can do ?

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