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By using an inductive procedure we prove that the Galerkin finite element approximations of electromagnetic eigenproblems modelling cavity resonators by elements of any fixed order of either Nedelec’s edge element family on tetrahedral meshes are convergent and free of spurious solutions. This result is not new but is proved under weaker hypotheses, which are fulfilled in most of engineering applications. The method of the proof is new, instead, and shows how families of spurious-free elements can...
By using an inductive procedure we prove that the Galerkin
finite element approximations of electromagnetic eigenproblems
modelling cavity resonators by elements of any fixed order of
either Nedelec's edge element family on tetrahedral meshes are
convergent and free of spurious solutions. This result is not
new but is proved under weaker hypotheses, which are fulfilled
in most of engineering applications. The method of the proof
is new, instead, and shows how families of spurious-free
elements...
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