Mesh Size

The mesh size of a finite mesh in a metric space is the maximum diameter of any cell in the mesh. Writing for the diameter of a cell , the mesh size is

For a closed interval partitioned by points , the cells are the resulting subintervals. If their lengths are denoted , , ..., , the mesh size reduces to .

See also

Diameter, Finite Element Method, Integral, Lower Sum, Mesh, Riemann Integral, Upper Sum

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References

Brenner, S. C. and Scott, L. R. The Mathematical Theory of Finite Element Methods. New York: Springer-Verlag, 1994.

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Cite this as:

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

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