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20182022
most citedMortar-based entropy-stable discontinuous Galerkin methods on non-conforming quadrilateral and hexahedral meshes

6 citations · 7 across the 5 of their papers we have counts for

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13 papers · 1 filter

math.NA2022

On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows

Jesse Chan, Hendrik Ranocha, Andres Rueda-Ramirez +2

High order entropy stable schemes provide improved robustness for computational simulations of fluid flows. However, additional stabilization and positivity preserving limiting can…

math.NA2021

Discrete adjoint computations for relaxation Runge-Kutta methods

Mario J. Bencomo, Jesse Chan

Relaxation Runge-Kutta methods reproduce a fully discrete dissipation (or conservation) of entropy for entropy stable semi-discretizations of nonlinear conservation laws. In this p…

math.NA20201 cited

Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations

Jesse Chan, Yimin Lin, Tim Warburton

Entropy stable schemes ensure that physically meaningful numerical solutions also satisfy a semi-discrete entropy inequality under appropriate boundary conditions. In this work, we…

math.NA2020

A high order discontinuous Galerkin method for the symmetric form of the anisotropic viscoelastic wave equation

Khemraj Shukla, Jesse Chan, Maarten V. de Hoop

Wave propagation in real media is affected by various non-trivial physical phenomena, e.g., anisotropy, an-elasticity and dissipation. Assumptions on the stress-strain relationship…

math.NA2020

Entropy stable discontinuous Galerkin methods for nonlinear conservation laws on networks and multi-dimensional domains

Xinhui Wu, Jesse Chan

We present a high-order entropy stable discontinuous Galerkin (ESDG) method for nonlinear conservation laws on both multi-dimensional domains and on networks constructed from one-d…

math.NA2020

High order weight-adjusted discontinuous Galerkin methods for wave propagation on moving curved meshes

Kaihang Guo, Jesse Chan

This paper presents high order accurate discontinuous Galerkin (DG) methods for wave problems on moving curved meshes with general choices of basis and quadrature. The proposed met…