Publication: Novel Well-Balanced Continuous Interior Penalty Stabilizations
Novel Well-Balanced Continuous Interior Penalty Stabilizations
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Micalizzi, L., Ricchiuto, M., & Abgrall, R. (2024). Novel Well-Balanced Continuous Interior Penalty Stabilizations. Journal of Scientific Computing, 100, 14. https://doi.org/10.1007/s10915-024-02563-9
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In this work, the high order accuracy and the well-balanced (WB) properties of some novel continuous interior penalty (CIP) stabilizations for the Shallow Water (SW) equations are investigated. The underlying arbitrary high order numerical framework is given by a Residual Distribution (RD)/continuous Galerkin (CG) finite element method (FEM) setting for the space discretization coupled with a Deferred Correction (DeC) time integration, to have a fully-explicit scheme. If, on the one hand, the introduced CIP stabilizations are all spec
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Micalizzi, L., Ricchiuto, M., & Abgrall, R. (2024). Novel Well-Balanced Continuous Interior Penalty Stabilizations. Journal of Scientific Computing, 100, 14. https://doi.org/10.1007/s10915-024-02563-9