# The discrete compactness property for anisotropic edge elements on polyhedral domains∗

ESAIM: Mathematical Modelling and Numerical Analysis (2012)

- Volume: 47, Issue: 1, page 169-181
- ISSN: 0764-583X

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topLombardi, Ariel Luis. "The discrete compactness property for anisotropic edge elements on polyhedral domains∗." ESAIM: Mathematical Modelling and Numerical Analysis 47.1 (2012): 169-181. <http://eudml.org/doc/222148>.

@article{Lombardi2012,

abstract = {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.},

author = {Lombardi, Ariel Luis},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Discrete compactness property; edge elements; anisotropic finite elements; Maxwell equations; discrete compactness property},

language = {eng},

month = {8},

number = {1},

pages = {169-181},

publisher = {EDP Sciences},

title = {The discrete compactness property for anisotropic edge elements on polyhedral domains∗},

url = {http://eudml.org/doc/222148},

volume = {47},

year = {2012},

}

TY - JOUR

AU - Lombardi, Ariel Luis

TI - The discrete compactness property for anisotropic edge elements on polyhedral domains∗

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2012/8//

PB - EDP Sciences

VL - 47

IS - 1

SP - 169

EP - 181

AB - 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.

LA - eng

KW - Discrete compactness property; edge elements; anisotropic finite elements; Maxwell equations; discrete compactness property

UR - http://eudml.org/doc/222148

ER -

## References

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