It is shown—for the first time, to the best of the author’s knowledge—that when the finite dimensional space sequence is generated by using Nedelec’s edge elements of any order and of both families defined on tetrahedra, the so-called discrete compactness property holds true for Lipschitz polyhedra even in the presence of mixed boundary conditions. The family of meshes is not required to be quasi-uniform but just regular. A standard way to deal with general dielectric permittivities completes the picture.
Discrete compactness for edge elements in the presence of mixed boundary conditions
RAFFETTO, MIRCO
2005-01-01
Abstract
It is shown—for the first time, to the best of the author’s knowledge—that when the finite dimensional space sequence is generated by using Nedelec’s edge elements of any order and of both families defined on tetrahedra, the so-called discrete compactness property holds true for Lipschitz polyhedra even in the presence of mixed boundary conditions. The family of meshes is not required to be quasi-uniform but just regular. A standard way to deal with general dielectric permittivities completes the picture.
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