M. Bernkopf, J. Melenk:

"Analysis of the hp-version of a first order system least squares method for the Helmholtz equation";

in: "ASC Report 24/2018", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2018, ISBN: 978-3-902627-11-7, 1 - 26.

Extending the wavenumber-explicit analysis of [4], we analyze the L2-convergence of a least squares method for the Helmholtz equation with wavenumber k or domains with an analytic boundary, we obtain improved rates in the meshsize h and the polynomial degree p under the scale resolution condition that hk/p is sufficiently small and p/logk is sufficiently large.

http://www.asc.tuwien.ac.at/preprint/2018/asc24x2018.pdf

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