Optimal Error Estimation for H(curl)-Conforming p-Interpolation in Two Dimensions
نویسندگان
چکیده
In this paper we prove an optimal error estimate for the H(curl)-conforming projection based p-interpolation operator introduced in [L. Demkowicz and I. Babuška, p interpolation error estimates for edge finite elements of variable order in two dimensions, SIAM J. Numer. Anal., 41 (2003), pp. 1195–1208]. This result is proved on the reference element (either triangle or square) K for regular vector fields in Hr(curl,K) with arbitrary r > 0. The formulation of the result in the H(div)-conforming setting, which is relevant for the analysis of high-order boundary element approximations for Maxwell’s equations, is provided as well.
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عنوان ژورنال:
- SIAM J. Numerical Analysis
دوره 47 شماره
صفحات -
تاریخ انتشار 2009