Partial differential equations, Maxwell equations, Polynomials, Electromagnetic theory
In this paper, we construct a sequence of projectors into certain polynomial spaces satisfying a commuting diagram property with norm bounds independent of the polynomial degree. Using the projectors, we obtain quasioptimality of some spectralmixed methods, including the Raviart–Thomas method and mixed formulations of Maxwell equations. We also prove some discrete Friedrichs type inequalities involving curl.
Gopalakrishnan, Jay and Demkowicz, Leszek, "Quasioptimality of Some Spectral Mixed Methods" (2004). Mathematics and Statistics Faculty Publications and Presentations. 68.