G. Andriamaro, O. Davydov and J. Simkin, Implementation of enhanced shape functions for non-affine elements, IET Science, Measurement & Technology, 9 (2015), 184-188. doi:10.1049/iet-smt.2014.0191

Abstract: The performance of different edge vector basis functions is compared for non-affine elements. Improved accuracy is measured by comparing the calculated eigenvalues of the electromagnetic field distribution in a cavity with analytical results. Enhanced $H(\curl)$-conforming basis functions are numerically shown to preserve the optimal approximation properties of the finite element on non-affine hexahedra.

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