Jesse Chan

J. Comput. Phys., 2025

High order entropy stable discontinuous Galerkin spectral element methods through subcell limiting.

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[DOI]

Yimin Lin

,

Michael Schlottke-Lakemper

J. Comput. Phys., February, 2024

Pseudodifferential Models for Ultrasound Waves with Fractional Attenuation.

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SIAM J. Appl. Math., 2024

High order entropy stable schemes for the quasi-one-dimensional shallow water and compressible Euler equations.

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J. Comput. Phys., 2024

Efficient Implementation of Modern Entropy Stable and Kinetic Energy Preserving Discontinuous Galerkin Methods for Conservation Laws.

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Hendrik Ranocha

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Andrés M. Rueda-Ramírez

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Andrew R. Winters

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Florian Hindenlang

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Gregor J. Gassner

ACM Trans. Math. Softw., December, 2023

Discrete Adjoint Computations for Relaxation Runge-Kutta Methods.

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Mario J. Bencomo

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J. Sci. Comput., February, 2023

Entropy-stable Gauss collocation methods for ideal magneto-hydrodynamics.

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Andrés M. Rueda-Ramírez

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Florian J. Hindenlang

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Gregor J. Gassner

J. Comput. Phys., February, 2023

A positivity preserving strategy for entropy stable discontinuous Galerkin discretizations of the compressible Euler and Navier-Stokes equations.

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Yimin Lin

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Ignacio Tomas

J. Comput. Phys., February, 2023

High-order methods for hypersonic flows with strong shocks and real chemistry.

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Ahmad Peyvan

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Khemraj Shukla

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David C. Del Rey Fernández

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George E. Karniadakis

J. Comput. Phys., 2023

Pseudo-Differential Sweeping Method for Ultrasound Waves with Fractional Attenuation.

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CoRR, 2023

Provably stable flux reconstruction high-order methods on curvilinear elements.

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Alexander Cicchino

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Siva Nadarajah

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Mark H. Carpenter

J. Comput. Phys., 2022

Efficient computation of Jacobian matrices for entropy stable summation-by-parts schemes.

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Christina G. Taylor

J. Comput. Phys., 2022

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

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Yimin Lin

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J. Comput. Phys., 2022

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

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Hendrik Ranocha

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Andrés M. Rueda-Ramírez

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Gregor Gassner

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CoRR, 2022

Entropy Stable Discontinuous Galerkin Methods for Nonlinear Conservation Laws on Networks and Multi-Dimensional Domains.

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Xinhui Wu

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J. Sci. Comput., 2021

Mortar-based Entropy-Stable Discontinuous Galerkin Methods on Non-conforming Quadrilateral and Hexahedral Meshes.

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David C. Del Rey Fernández

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Mario J. Bencomo

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J. Sci. Comput., 2021

Entropy stable discontinuous Galerkin methods for the shallow water equations with subcell positivity preservation.

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[DOI]

Xinhui Wu

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Nathaniel Trask

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Michael Schlottke-Lakemper

CoRR, 2021

Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing.

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[DOI]

Hendrik Ranocha

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CoRR, 2021

High-order entropy stable discontinuous Galerkin methods for the shallow water equations: Curved triangular meshes and GPU acceleration.

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Xinhui Wu

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Ethan J. Kubatko

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Comput. Math. Appl., 2021

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

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Khemraj Shukla

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Maarten V. de Hoop

Comput. Math. Appl., 2021

A weight-adjusted discontinuous Galerkin method for the poroelastic wave equation: Penalty fluxes and micro-heterogeneities.

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J. Comput. Phys., 2020

Bernstein-Bézier weight-adjusted discontinuous Galerkin methods for wave propagation in heterogeneous media.

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Kaihang Guo

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J. Comput. Phys., 2020

A weight-adjusted discontinuous Galerkin method for wave propagation in coupled elastic-acoustic media.

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Kaihang Guo

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Sebastian Acosta

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J. Comput. Phys., 2020

Entropy stable reduced order modeling of nonlinear conservation laws.

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J. Comput. Phys., 2020

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

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Kaihang Guo

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CoRR, 2020

Efficient Entropy Stable Gauss Collocation Methods.

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[DOI]

David C. Del Rey Fernández

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Mark H. Carpenter

SIAM J. Sci. Comput., 2019

Leapfrog Time-Stepping for Hermite Methods.

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J. Sci. Comput., 2019

Skew-Symmetric Entropy Stable Modal Discontinuous Galerkin Formulations.

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J. Sci. Comput., 2019

On discretely entropy stable weight-adjusted discontinuous Galerkin methods: curvilinear meshes.

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Lucas C. Wilcox

J. Comput. Phys., 2019

On discretely entropy conservative and entropy stable discontinuous Galerkin methods.

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J. Comput. Phys., 2018

GPU-Accelerated Bernstein-Bézier Discontinuous Galerkin Methods for Wave Problems.

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SIAM J. Sci. Comput., 2017

Weight-Adjusted Discontinuous Galerkin Methods: Wave Propagation in Heterogeneous Media.

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Russell J. Hewett

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Timothy Warburton

SIAM J. Sci. Comput., 2017

Weight-Adjusted Discontinuous Galerkin Methods: Curvilinear Meshes.

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Russell J. Hewett

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Timothy Warburton

SIAM J. Sci. Comput., 2017

A geometric multigrid preconditioning strategy for DPG system matrices.

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Nathan V. Roberts

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Comput. Math. Appl., 2017

Reduced storage nodal discontinuous Galerkin methods on semi-structured prismatic meshes.

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Comput. Math. Appl., 2017

On the penalty stabilization mechanism for upwind discontinuous Galerkin formulations of first order hyperbolic systems.

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Comput. Math. Appl., 2017

A Short Note on a Bernstein-Bezier Basis for the Pyramid.

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SIAM J. Sci. Comput., 2016

Orthogonal Bases for Vertex-Mapped Pyramids.

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SIAM J. Sci. Comput., 2016

GPU-accelerated discontinuous Galerkin methods on hybrid meshes.

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[DOI]

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Zheng Wang

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Axel Modave

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Jean-François Remacle

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J. Comput. Phys., 2016

GPU Acceleration of Hermite Methods for the Simulation of Wave Propagation.

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CoRR, 2016

A Comparison of High Order Interpolation Nodes for the Pyramid.

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SIAM J. Sci. Comput., 2015

hp-finite element trace inequalities for the pyramid.

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[DOI]

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Comput. Math. Appl., 2015

Locally conservative discontinuous Petrov-Galerkin finite elements for fluid problems.

[BibT_eX]

[DOI]

Truman Ellis

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Leszek F. Demkowicz

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Comput. Math. Appl., 2014

A robust DPG method for convection-dominated diffusion problems II: Adjoint boundary conditions and mesh-dependent test norms.

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Comput. Math. Appl., 2014

A dual Petrov-Galerkin finite element method for the convection-diffusion equation.

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