The limit property for the interior solid angles of some refinement schemes for simplicial meshes

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Abstract

We prove that both, the repeated interior point based subdivision and the LE m-section (m4) of an initial n-simplex in Rn(n2), produce a sequence of simplicial meshes with minimum interior solid angles converging to zero.

MSC

65L50
65M50

Keywords

Simplices
Simplicial meshes
Mesh refinement
Solid angle

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