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Tetrahedral Mesh


A tetrahedral mesh is a three-dimensional mesh whose maximal cells are tetrahedra. In a conforming tetrahedral mesh, two tetrahedra meet, if at all, in a complete common face, edge, or vertex.

Tetrahedral meshes discretize three-dimensional domains for the finite element method. Their quality is controlled by geometric conditions such as ratios of characteristic lengths and dihedral angles, and they are commonly constructed by mesh generation algorithms based on Delaunay triangulation.


See also

Conforming Mesh, Delaunay Triangulation, Finite Element Method, Mesh, Mesh Generation, Mesh Quality, Tetrahedron, Triangulation

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References

Bern, M. and Plassmann, P. "Mesh Generation." Ch. 6 in Handbook of Computational Geometry. (Ed. J.-R. Sack and J. Urrutia). Amsterdam, Netherlands: North-Holland, pp. 291-332, 2000.

Cite this as:

Weisstein, Eric W. "Tetrahedral Mesh." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TetrahedralMesh.html

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