3 papers
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.OC2024
Scalable optimal control for inequality-constrained discretizations of scalar conservation laws
Falko Ruppenthal, Denis Ridzal, Dmitri Kuzmin +1
Optimization-based (OB) alternatives to traditional flux limiters couch preservation of properties such as local bounds and maximum principles into optimization problems, which imp…
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…