Anisotropic Analysis Of Finite Elements For H (curl) Space

The classical finite element convergence analysis relies on the regular condition. In this paper we present the triangular and rectangular elements of any order for H(curl) space and give the error estimates on the anisotropic meshes. Also, we show that our elements can be applied to the Maxwell equations in two dimension. In this paper, we also obtain optimal order error estimates for the H(curl) interpolation of the lowest degree for tetrahedral elements satisfying the regular vertex condition in three dimension.