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I have co-ordinates of 4 vertices of quadrilateral for every element in mesh. I assembled such elements by moving single, separate point in whole domain and compared it's coordinate with all vertices of quadrilateral.

Above technique work properly, but it required rectangle element with fixed width and height for all elements.

my question is, what is best algorithm to assemble quadrilateral mesh with only information of 4 vertices of each elements in mesh?

please note that this question is not based on Delaunay triangulation or any other advancing front method (this technique gives all information while making meshes), rather to consider computational geometry.

thanks in advance.

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# Algorithm for assembling quadrilateral mesh in FEM

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