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math.NA2021★ 1 cited
Arbitrary Order Solutions for the Eikonal Equation using a Discontinuous Galerkin Method
David Flad, Aniruddhe Pradhan, Scott Murman
We provide a method to compute the entropy-satisfying weak solution to the eikonal equation in an arbitrary-order polynomial space. The method uses an artificial viscosity approach…
math.NA2020
A Neural Network based Shock Detection and Localization Approach for Discontinuous Galerkin Methods
Andrea D. Beck, Jonas Zeifang, Anna Schwarz +1
The stable and accurate approximation of discontinuities such as shocks on a finite computational mesh is a challenging task. Detection of shocks or strong discontinuities in the f…