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The discrete compactness property for anisotropic edge elements on polyhedral domains

Ariel Luis Lombardi — 2013

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

We prove the discrete compactness property of the edge elements of any order on a class of anisotropically refined meshes on polyhedral domains. The meshes, made up of tetrahedra, have been introduced in [Th. Apel and S. Nicaise, 21 (1998) 519–549]. They are appropriately graded near singular corners and edges of the polyhedron.

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