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A new proof of the degeneracy property of the longest-edge \(n\)-section refinement scheme for triangular meshes. (English) Zbl 1291.65353

Appl. Math. Comput. 219, No. 4, 2342-2344 (2012); corrigendum ibid. 260, 412-413 (2015).
Summary: In this note, by using complex variable functions, we present a new simpler proof of the degeneracy property of the longest-edge \(n\)-section of triangles for \(n\geq 4\). This means that the longest-edge \(n\)-section of triangles for \(n\geq 4\) produces a sequence of triangles with minimum interior angle converging to zero.

MSC:

65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
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