2 papers
math.NA2026
Well-balanced second-order approximation of the compressible atmospheric Euler equations
Crystal Farris, Matthias Maier, Eric J. Tovar
We introduce a second-order approximation to the compressible atmospheric Euler equations with gravity that is invariant domain preserving and well-balanced with respect to rest st…
math.NA2025
A conservative invariant-domain preserving projection technique for hyperbolic systems under adaptive mesh refinement
Jake Harmon, Martin Kronbichler, Matthias Maier +1
We propose a rigorous, conservative invariant-domain preserving (IDP) projection technique for hierarchical discretizations that enforces membership in physics-implied convex sets…