English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We present a stability and convergence theory for the lossy Helmholtzequation and its Galerkin discretization. The boundary conditions are of Robintype. All estimates are explicit with respect to the real and imaginary part ofthe complex wave number $\zeta\in\mathbb{C}$, $\operatorname{Re}\zeta\geq0$,$\left\vert \zeta\right\vert \geq1$. For the extreme cases $\zeta\in\operatorname*{i}\mathbb{R}$ and $\zeta\in\mathbb{R}_{\geq0}$, the estimatescoincide with the existing estimates in the literature and exhibit a seamlesstransition between these cases in the right complex half plane.

Wave number-Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems