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math.NA2026
Bathymetry reconstruction via optimal control in well-balanced finite element methods for the shallow water equations
Falko Ruppenthal, Dmitri Kuzmin
Accurate prediction of shallow water flows relies on precise bottom topography data, yet direct bathymetric surveys are expensive and time-consuming. In contrast, remote sensing pl…
math.NA2021
Optimal control using flux potentials: A way to construct bound-preserving finite element schemes for conservation laws
Falko Ruppenthal, Dmitri Kuzmin
To ensure preservation of local or global bounds for numerical solutions of conservation laws, we constrain a baseline finite element discretization using optimization-based (OB) f…