A new H(div)-conforming p-interpolation operator in two dimensions. (arXiv:0910.3891v1 [math.NA])

In this paper we construct a new H(div)-conforming projection-based
p-interpolation operator that assumes only $H^r(K) cap ilde
H^{-1/2}(div,K)$-regularity (r > 0) on the reference element K (either triangle
or square). We show that this operator is stable with respect to polynomial
degrees and satisfies the commuting diagram property. We also establish an
estimate for the interpolation error in the norm of the space $ ilde
H^{-1/2}(div,K)$, which is closely related to the energy spaces for boundary
integral formulations of time-harmonic problems of electromagnetics in three
dimensions.

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Original source : http://arxiv.org/abs/0910.3891...