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# Re: [femm] Triangulation!

- To: femm@yahoogroups.com
- Subject: Re: [femm] Triangulation!
- From: David Meeker <dmeeker@foster-miller.com>
- Date: Fri, 08 Feb 2002 17:31:03 -0500
- References: <F40x7nyeKzGZuNY1SWo0000084c@hotmail.com>

    you se-ho wrote:

    > To Dear All:
    >
    > Quick thought. triangles approximate a+bx+cy with 3 point on triangles. If
    > we have sqaure or any other shape (more than 3 vertices), then we have more
    > equations then needed (i.e over-determined.) Therefore, if we use square (or
    > rectangles), we waste time. Can this be one of reason? Moreover, when we
    > want to approximate with more than 2nd order, which is better between
    > triangles with more points on them (point between vertices or center of
    > traignles) and square (or triangles etc) when we can fit into shape?
    >
    > Any comment?
    > Thanks
    > Sincerely,
    > Se-HO YOU

    Quads aren't over-determined, The interpolation function within a quad element
    has a form like:
    A(x,y) = c0 + c1 x + c2 y + c3 x y
    where there is a unique mapping between the four nodal values and c0,c1,c2,c3.

    Dave.

- References:
  - Re: [femm] Triangulation!
    - From: "you se-ho" <sxy28@hotmail.com>

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