Cover Image

A positivity preserving and entropy stable nodal discontinuous Galerkin scheme for ideal MHD equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Wu, Yue, Shu, Chi-Wang
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis Computational Physics 65M60 (Primary) 65M70, 65M12, 76W05 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Error analysis of a divergence-preserving mixed finite element scheme for the incompressible Hall--magnetohydrodynamic equations
by: Goldys, Beniamin, et al.
Published: (2026)

Implicit dual time-stepping positivity-preserving entropy-stable schemes for the compressible Navier-Stokes equations
by: Sayyari, Mohammed, et al.
Published: (2025)

A new class of entropy stable fluctuations for the discontinuous Galerkin method with application to the Saint-Venant-Exner model
by: Ersing, Patrick, et al.
Published: (2026)

Efficient and Optimally Accurate Numerical Algorithms for Stochastic Turbulent Flow Problems
by: Berry, Brandiece N., et al.
Published: (2025)

Two Robust, Efficient, and optimally Accurate Algorithms for parameterized stochastic navier-stokes Flow Problems
by: Raveendran, Neethu Suma, et al.
Published: (2024)

An entropy stable high-order discontinuous Galerkin spectral element method for the Baer-Nunziato two-phase flow model
by: Coquel, Frédéric, et al.
Published: (2020)

Entropy stable finite difference schemes for Chew, Goldberger & Low anisotropic plasma flow equations
by: Singh, Chetan, et al.
Published: (2024)

An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes
by: Ersing, Patrick, et al.
Published: (2023)

Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods
by: Glaubitz, Jan, et al.
Published: (2024)

A nodally bound-preserving discontinuous Galerkin method for the drift-diffusion equation
by: Barrenechea, Gabriel R., et al.
Published: (2024)

Robust H(curl)-based finite element methods for the incompressible MHD system
by: da Veiga, Lourenço Beirão, et al.
Published: (2026)

Entropy stable hydrostatic reconstruction schemes for shallow water systems
by: Ersing, Patrick, et al.
Published: (2024)

A Priori Error Bounds and Parameter Scalings for the Time Relaxation Reduced Order Model
by: Reyes, Jorge, et al.
Published: (2024)

A Hybridizable Discontinuous Galerkin Method for the Miscible Displacement Problem Under Minimal Regularity
by: Kirk, Keegan L. A., et al.
Published: (2025)

A hybrid reduced-order and high-fidelity discontinuous Galerkin Spectral Element framework for large-scale PMUT array simulations
by: Antonietti, Paola F., et al.
Published: (2026)

A collocation scheme that is equivalent to discontinuous Galerkin discretizations
by: Hicken, Jason
Published: (2026)

Ferrofluids: Modeling and Approximation
by: Benavides, Gonzalo A., et al.
Published: (2026)

Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements
by: Bause, Markus, et al.
Published: (2024)

Stable Volume Dissipation for High-Order Finite-Difference and Spectral-Element Methods with the Summation-by-Parts Property
by: Bercik, Alex, et al.
Published: (2025)

Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: preserving isentropic steady solutions
by: Berthon, Christophe, et al.
Published: (2024)

A unifying algebraic framework for discontinuous Galerkin and flux reconstruction methods based on the summation-by-parts property
by: Montoya, Tristan, et al.
Published: (2021)

Error estimates for a helicity-preserving finite element discretisation of an incompressible magnetohydrodynamics system
by: da Veiga, L. Beirao, et al.
Published: (2024)

Provably fully discrete energy-stable and asymptotic-preserving scheme for barotropic Euler equations
by: Anandan, Megala, et al.
Published: (2025)

Asymptotic-preserving and positivity-preserving discontinuous Galerkin method for the semiconductor Boltzmann equation in the diffusive scaling
by: Ding, Huan, et al.
Published: (2025)

Analysis and finite element approximation of a diffuse interface approach to the Stokes--Biot coupling
by: Aznaran, Francis R. A., et al.
Published: (2024)

Entropy-Stable Discontinuous Spectral-Element Methods for the Spherical Shallow Water Equations in Covariant Form
by: Montoya, Tristan, et al.
Published: (2025)

Space-Time Block Preconditioning for Incompressible Resistive Magnetohydrodynamics
by: Danieli, Federico, et al.
Published: (2023)

Volume Term Adaptivity for Discontinuous Galerkin Schemes
by: Doehring, Daniel, et al.
Published: (2026)

A strong second-order two-stage explicit/implicit technique with spectral orthogonal basis Galerkin finite element method for two-dimensional Gray-Scott model
by: Ngondiep, Eric
Published: (2026)

A semi-discrete Active Flux method for the Euler equations on Cartesian grids
by: Abgrall, Rémi, et al.
Published: (2023)

An explicit construction of optimized interpolation points on the 4-simplex
by: Gobel, Trenton J., et al.
Published: (2024)

Versatile mixed methods for weakly-compressible flows
by: Miller, Edward A., et al.
Published: (2024)

A unified framework of fully decoupled, bound-preserving and energy-dissipative schemes for two-phase flow in porous media
by: Li, Xiaoli, et al.
Published: (2026)

A robust iterative scheme for the slightly compressible Darcy-Forchheimer equations
by: Portero, Laura, et al.
Published: (2026)

Convergence of long-time stable variable-step arbitrary order ETD-MS scheme for gradient flows with Lipschitz nonlinearity
by: Chen, Wenbin, et al.
Published: (2025)

BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics: a-priori error estimates
by: Aldé, Michele, et al.
Published: (2026)

Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations
by: Ranocha, Hendrik, et al.
Published: (2025)

Structure preserving hybrid Finite Volume Finite Element method for compressible MHD
by: Fambri, Francesco, et al.
Published: (2024)

Error analysis for discontinuous Galerkin time-stepping methods for nonlinear parabolic equations via maximal regularity
by: Akrivis, Georgios, et al.
Published: (2024)

A convergence proof for a finite element discretization of Chorin's projection method of the incompressible Navier-Stokes equations
by: Weber, Franziska
Published: (2025)