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math.NA2024
Constructing stable, high-order finite-difference operators on point clouds over complex geometries
Jason Hicken, Ge Yan, Sharanjeet Kaur
High-order difference operators with the summation-by-parts (SBP) property can be used to build stable discretizations of hyperbolic conservation laws; however, most high-order SBP…
math.NA2021★ 1 cited
Entropy-stable discontinuous Galerkin difference methods for hyperbolic conservation laws
Ge Yan, Sharanjeet Kaur, Jeffery W. Banks +1
The paper describes the construction of entropy-stable discontinuous Galerkin difference (DGD) discretizations for hyperbolic conservation laws on unstructured grids. The construct…