no. 1
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
Keywords: 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},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {169--181},
     year = {2013},
     publisher = {EDP Sciences},
     volume = {47},
     number = {1},
     doi = {10.1051/m2an/2012024},
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     zbl = {1281.78014},
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     url = {https://www.numdam.org/articles/10.1051/m2an/2012024/}
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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

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