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TriangleGetElementAttributes[expr]

gets the element attributes in a Triangle expression.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
See Also
Tech Notes
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TriangleLink`
TriangleLink`

TriangleGetElementAttributes

TriangleGetElementAttributes[expr]

gets the element attributes in a Triangle expression.

Details and Options

  • To use TriangleGetElementAttributes, you first need to load it using Needs["TriangleLink`"].
  • TriangleGetElementAttributes returns attributes that are stored in a TriangleExpression.
  • TriangleGetElementAttributes needs the "A" switch to be set during the call to TriangleTriangulate.

Examples

Basic Examples  (1)

First, load the package:

Wolfram Language code: Needs["TriangleLink`"]

This creates an instance of a Triangle expression:

Wolfram Language code: inst = TriangleCreate[]

This sets up points and segments to use:

Wolfram Language code: pts = {{0., 0.}, {2., 0.}, {2., 2.}, {0., 1.}}; segments = {{1, 2}, {2, 3}, {3, 4}, {4, 1}};

This sets the points and facets in the Triangle instance:

Wolfram Language code: TriangleSetPoints[inst, pts]; TriangleSetSegments[inst, segments];

This sets up variables that specify a point within a material domain, as well as a region attribute and a region constraint:

Wolfram Language code: materialDomains = {{1., 0.25}}; materialDomainsRegionAttribute = {10.}; materialDomainsRegionConstraint = {0.5};

The material variables are set in the Triangle instance:

Wolfram Language code: TriangleSetRegions[inst, materialDomains, materialDomainsRegionAttribute, materialDomainsRegionConstraint];

This carries out the triangulation, returning a new Triangle instance:

Wolfram Language code: outInst = TriangleTriangulate[ inst, "pqaA"]

This extracts the points and elements from the triangulation:

Wolfram Language code: coords = TriangleGetPoints[outInst]; meshElements = TriangleGetElements[outInst];

With the following support function, you can visualize the triangles:

Wolfram Language code: TriangleWireframe[i_] := Line[ Flatten[ i[[All, #]]& /@ {{1, 2}, {2, 3}, {3, 1}}, 1]]
Wolfram Language code: Graphics[GraphicsComplex[coords, TriangleWireframe[meshElements]]]

Each element now carries the material attribute:

Wolfram Language code: TriangleGetElementAttributes[outInst];