%A Verfürth, Barbara
%D 2017
%T Numerical homogenization for indefinite H(curl)-problems
%K
%X In this paper, we present a numerical homogenization scheme for indefinite, time-harmonic Maxwell's equations involving potentially rough (rapidly oscillating) coefficients. The method involves an $\mathbf{H}(\mathrm{curl})$-stable, quasi-local operator, which allows for a correction of coarse finite element functions such that order optimal (w.r.t.\ the mesh size) error estimates are obtained. To that end, we extend the procedure of [D.Gallistl, P.Henning, B.Verfurth, Numerical homogenization for H(curl)-problems, arXiv:1706.02966, 2017] to the case of indefinite problems. In particular, this requires a careful analysis of the well-posedness of the corrector problems as well as the numerical homogenization scheme.
%U http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/equadiff/article/view/711
%J Proceedings of Equadiff 2017 Conference
%0 Journal Article
%P 137-146%8 2017-12-29