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Publications (5)
In this article, we consider the damped time-harmonic Galbrun's equation which models solar and stellar oscillations. We introduce and analyze hybrid discontinuous Galerkin discretizations, which are stable and convergent for any polynomial degree greater or equal than one and are computationally more efficient than discontinuous Galerkin discretiz...
We analyze the Helmholtz--Korteweg and nematic Helmholtz--Korteweg equations, variants of the classical Helmholtz equation for time-harmonic wave propagation for Korteweg and nematic Korteweg fluids. Korteweg fluids are ones where the stress tensor depends on density gradients; nematic Korteweg fluids further depend on a nematic director describing...
In this paper we present a new H ( div ) H(\operatorname {div}) -conforming unfitted finite element method for the mixed Poisson problem which is robust in the cut configuration and preserves conservation properties of body-fitted finite element methods. The key is to formulate the divergence-constraint on the active mesh, instead of the physical d...
We consider the damped time-harmonic Galbrun’s equation which is used to model solar- and stellar oscillations. We introduce a fully discontinuous Galerkin finite element discretization that is nonconforming with respect to the convection and the diffusion operators and is robust with respect to the severe changes in the magnitude of the density an...
In this paper we present a new H(div)-conforming unfitted finite element method for the mixed Poisson problem which is robust in the cut configuration and preserves conservation properties of body-fitted finite element methods. The key is to formulate the divergence-constraint on the active mesh, instead of the physical domain, in order to obtain r...
