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math.NA2024
An Entropy Stable High-Order Discontinuous Galerkin Method on Cut Meshes
Christina G. Taylor, Jesse Chan
High-order entropy stable summation-by-parts (SBP) schemes are a class of robust and accurate numerical methods for hyperbolic conservation laws that are numerically stable at arbi…
math.NA2024
An Energy Stable High-Order Cut Cell Discontinuous Galerkin Method with State Redistribution for Wave Propagation
Christina G. Taylor, Lucas C. Wilcox, Jesse Chan
Cut meshes are a type of mesh that is formed by allowing embedded boundaries to "cut" a simple underlying mesh resulting in a hybrid mesh of cut and standard elements. While cut me…
math.NA2020
Efficient computation of Jacobian matrices for entropy stable summation-by-parts schemes
Jesse Chan, Christina G. Taylor
Entropy stable schemes replicate an entropy inequality at the semi-discrete level. These schemes rely on an algebraic summation-by-parts (SBP) structure and a technique referred to…