The discrete compactness property for anisotropic edge elements on polyhedral domains
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 47 (2013) no. 1, pp. 169-181.

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, Math. Meth. Appl. Sci. 21 (1998) 519-549]. They are appropriately graded near singular corners and edges of the polyhedron.

DOI : 10.1051/m2an/2012024
Classification : 65N30
Mots-clés : discrete compactness property, edge elements, anisotropic finite elements, Maxwell equations 
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     title = {The discrete compactness property for anisotropic edge elements on polyhedral domains},
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     pages = {169--181},
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Lombardi, Ariel Luis. The discrete compactness property for anisotropic edge elements on polyhedral domains. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 47 (2013) no. 1, pp. 169-181. doi : 10.1051/m2an/2012024. http://archive.numdam.org/articles/10.1051/m2an/2012024/

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