What question did this study set out to answer?

The aim is to develop hybrid discontinuous Galerkin discretizations that enhance stability and reduce computational costs for modeling stellar oscillations.

April 1, 2026

Hybrid discontinuous Galerkin discretizations for the damped time-harmonic Galbrun's equation

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Authors

MHMartin Halla CLChristoph LehrenfeldUniversity of Göttingen TBTim van BeeckUniversity of Göttingen

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Implication

This research introduces a stable and robust method to simulate stellar oscillations using new discretization techniques.

Key Points

The aim is to develop hybrid discontinuous Galerkin discretizations that enhance stability and reduce computational costs for modeling stellar oscillations.
Introduced hybrid discontinuous Galerkin discretizations for the damped time-harmonic Galbrun’s equation.
Analyzed stability and convergence for polynomial degrees greater than or equal to one.
Evaluated robustness against changes in coefficients typical in stellar environments.
The proposed methods demonstrated improved stability compared to previous H1-conforming discretizations.
Significantly reduced computational costs when compared to H(div)-conforming DG discretization methods.
Methods are well-suited for astrophysical simulations with complex coefficient structures.

Cite This Study

Halla et al. (2026) studied this question.

synapsesocial.com/papers/69ccb59f16edfba7beb87794 https://doi.org/10.1051/m2an/2026027/pdf

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Hybrid discontinuous Galerkin discretizations for the damped time-harmonic Galbrun's equation

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Key Points

Cite This Study

Hybrid discontinuous Galerkin discretizations for the damped time-harmonic Galbrun's equation

Discussion

Member takes

Implication

Key Points

Cite This Study

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