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I am new in Mathematica.

Is it possible to create QuadElements from a set of points? In this link there is an explanation for creating triangleElement. Suppose I have only coordinates of my points as follows

dd = {{0.25, 0.25}, {0.5, 0.25}, {0.75, 0.25}, {0.25, 0.5}, {0.5, 
    0.5}, {0.75, 0.5}, {0.25, 0.75}, {0.5, 0.75}, {0.75, 0.75}, {0.25,
     1}, {0.5, 1}, {0.75, 1}, {0.25, 1.25}, {0.5, 1.25}, {0.75, 
    1.25}, {0.25, 1.5}, {0.5, 1.5}, {0.75, 1.5}, {0.25, 1.75}, {0.5, 
    1.75}, {0.75, 1.75}, {0, 0}, {1, 0}, {0, 0.25}, {1, 0.25}, {0, 
    0.5}, {1, 0.5}, {0, 0.75}, {1, 0.75}, {0, 1}, {1, 1}, {0, 
    1.25}, {1, 1.25}, {0, 1.5}, {1, 1.5}, {0, 1.75}, {1, 1.75}, {0, 
    2}, {1, 2}, {0.25, 0}, {0.5, 0}, {0.75, 0}, {0.25, 2}, {0.5, 
    2}, {0.75, 2}};

I want to create quadElements from this set. Thank you for your help.

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  • $\begingroup$ Can you be more specific? What are QuadElements? $\endgroup$
    – lericr
    Commented Jun 25 at 22:25
  • 1
    $\begingroup$ I mean quadrilateral mesh. See for example here $\endgroup$
    – Merakli
    Commented Jun 25 at 22:39
  • $\begingroup$ I want to understand QuadElements is always well-defined or not. Suppose you have just five points --- the vertices of a regular pentagon. Then, what is the expected answer? $\endgroup$
    – A. Kato
    Commented Jun 26 at 1:11
  • $\begingroup$ The command ToElementMesh[Rectangle[{0, 0}, {1, 2}], MaxCellMeasure -> 1/16] will create a mesh of QuadElements through those particular points. $\endgroup$
    – LouisB
    Commented Jun 26 at 7:06

1 Answer 1

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ResourceFunction["FEMAddOnsInstall"][]

Needs["FEMAddOns`"]
Needs["NDSolve`FEM`"];
triMesh = ToElementMesh[dd];
mesh = ToQuadMesh[triMesh];
mesh["Wireframe"]

enter image description here

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1
  • $\begingroup$ Thank you very much. $\endgroup$
    – Merakli
    Commented Jun 26 at 7:56

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