Quasioptimality of some spectral mixed methods

Citation data:

Journal of Computational and Applied Mathematics, ISSN: 0377-0427, Vol: 167, Issue: 1, Page: 163-182

Publication Year:
2004
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Repository URL:
https://pdxscholar.library.pdx.edu/mth_fac/68; https://works.bepress.com/jay-gopalakrishnan/97
DOI:
10.1016/j.cam.2003.10.001
Author(s):
Jayadeep Gopalakrishnan; Leszek F. Demkowicz
Publisher(s):
Elsevier BV
Tags:
Mathematics; Partial differential equations; Maxwell equations; Polynomials; Electromagnetic theory; Analysis; Applied Mathematics
article description
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 spectral mixed methods, including the Raviart–Thomas method and mixed formulations of Maxwell equations. We also prove some discrete Friedrichs type inequalities involving curl.