What are nedelec elements?
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Nedelec elements are a type of finite element method used for approximating solutions to Maxwell's equations. They are vector elements that belong to the functional space H(curl). Nedelec's first family of curl-conforming elements is a specific set of Nedelec elements. These elements have been studied extensively in the literature, and various higher-order versions have been proposed. The third-order tetrahedral version of Nedelec's first family of elements, in particular, has been shown to have better conditioned finite element method matrices compared to other higher-order curl-conforming elements . The implementation of these elements involves deducing the vectorial basis functions and defining the degrees of freedom associated with the faces of neighboring elements . Theoretical bounds have been obtained on the eigenvalues and condition numbers of the matrices arising from Galerkin approximation of Maxwell's equations using Nedelec elements .
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11 Jul 1999 | Nedelec elements are curl-conforming finite elements that approximate vector fields by representing the tangential component of the field along the boundary of the element using vectorial basis functions. |
29 Citations | Nedelec elements are a type of basis functions used for p-version edge element approximation of the space H(curl) in Galerkin approximation of Maxwell's equations. |
Open access•Journal Article 3 Citations | Nedelec elements are functional spaces of H1(curl) tetrahedral vector elements that are used to analyze and solve problems involving vector fields. |
| Nedelec elements are a type of finite element that are used for the discretization of vector fields in the finite element method. |
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