@inproceedings{517b465a7ed945f585e992a18712ec77,
title = "Algebraic Dual Polynomials for the Equivalence of Curl-Curl Problems",
abstract = "In this paper we will consider two curl-curl equations in two dimensions. One curl-curl problem for a scalar quantity F and one problem for a vector field E. For Dirichlet boundary conditions n× E= {\^E}⊣ on E and Neumann boundary conditions n×curlF={\^E}⊣, we expect the solutions to satisfy E = curl F. When we use algebraic dual polynomial representations, these identities continue to hold at the discrete level. Equivalence will be proved and illustrated with a computational example.",
keywords = "Algebraic dual polynomials, Curl-curl problems, Spectral element method",
author = "Marc Gerritsma and Varun Jain and Yi Zhang and Artur Palha",
year = "2020",
doi = "10.1007/978-3-030-30705-9_27",
language = "English",
isbn = "9783030307042",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Open",
pages = "307--320",
editor = "{van Brummelen}, Harald and Alessandro Corsini and Simona Perotto and Gianluigi Rozza",
booktitle = "Numerical Methods for Flows - FEF 2017 Selected Contributions",
address = "United Kingdom",
note = "19th International Conference on Finite Elements in Flow Problems, FEF 2017 ; Conference date: 05-04-2017 Through 07-04-2017",
}