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math.NA2025
A Fully Discrete Truly Multidimensional Active Flux Method For The Two-Dimensional Euler Equations
Erik Chudzik, Christiane Helzel, Amelie Porfetye
The Active Flux method is a finite volume method for hyperbolic conservation laws that uses both cell averages and point values as degrees of freedom. Several versions of such meth…
math.NA2022
The Cartesian Grid Active Flux Method with Adaptive Mesh Refinement
Donna Calhoun, Erik Chudzik, Christiane Helzel
We present the first implementation of the Active Flux method on adaptively refined Cartesian grids. The Active Flux method is a third order accurate finite volume method for hyper…