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math.NA2023
Local Element Operations for Curved Simplex Meshes
Andrew Shi, Per-Olof Persson
Mesh optimization procedures are generally a combination of node smoothing and discrete operations which affect a small number of elements to improve the quality of the overall mes…
math.NA2019
Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method
Matthew J. Zahr, Andrew Shi, Per-Olof Persson
A novel framework for resolving discontinuous solutions of conservation laws, e.g., contact lines, shock waves, and interfaces, using implicit tracking and a high-order discontinuo…