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On the instabilities of naive FEM discretizations for PDEs with sign-changing coefficients
Martin Halla, Florian Oberender
We consider a scalar diffusion equation with a sign-changing coefficient in its principle part. The well-posedness of such problems has already been studied extensively provided th…
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Hybrid discontinuous Galerkin discretizations for the damped time-harmonic Galbrun's equation
Martin Halla, Christoph Lehrenfeld, Tim van Beeck
In this article, we study the damped time-harmonic Galbrun's equation which models solar and stellar oscillations. We introduce and analyze hybrid discontinuous Galerkin discretiza…