Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods
Fuente:
arXiv
Saved in:
| Main Authors: | Glaubitz, Jan, Ranocha, Hendrik, Winters, Andrew R., Schlottke-Lakemper, Michael, Öffner, Philipp, Gassner, Gregor |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
by: Ranocha, Hendrik, et al.
Published: (2023)
by: Ranocha, Hendrik, et al.
Published: (2023)
Volume Term Adaptivity for Discontinuous Galerkin Schemes
by: Doehring, Daniel, et al.
Published: (2026)
by: Doehring, Daniel, et al.
Published: (2026)
An optimization-based construction procedure for function space based summation-by-parts operators on arbitrary grids
by: Glaubitz, Jan, et al.
Published: (2024)
by: Glaubitz, Jan, et al.
Published: (2024)
Summation-by-parts operators for general function spaces: The second derivative
by: Glaubitz, Jan, et al.
Published: (2023)
by: Glaubitz, Jan, et al.
Published: (2023)
Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties
by: Petri, Louis, et al.
Published: (2026)
by: Petri, Louis, et al.
Published: (2026)
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)
by: Ersing, Patrick, et al.
Published: (2026)
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)
by: Montoya, Tristan, et al.
Published: (2021)
High-order mass- and energy-conserving methods for the nonlinear Schrödinger equation and its hyperbolization
by: Ranocha, Hendrik, et al.
Published: (2025)
by: Ranocha, Hendrik, et al.
Published: (2025)
Jin-Xin relaxation as a shock-capturing method for high-order DG/FR schemes
by: Artiano, Marco, et al.
Published: (2026)
by: Artiano, Marco, et al.
Published: (2026)
On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperbolic Systems
by: Artiano, Marco, et al.
Published: (2026)
by: Artiano, Marco, et al.
Published: (2026)
Structure-Preserving Numerical Methods for Two Nonlinear Systems of Dispersive Wave Equations
by: Lampert, Joshua, et al.
Published: (2024)
by: Lampert, Joshua, et al.
Published: (2024)
Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations
by: Ranocha, Hendrik, et al.
Published: (2025)
by: Ranocha, Hendrik, et al.
Published: (2025)
Multiderivative time integration methods preserving nonlinear functionals via relaxation
by: Ranocha, Hendrik, et al.
Published: (2023)
by: Ranocha, Hendrik, et al.
Published: (2023)
An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes
by: Ersing, Patrick, et al.
Published: (2023)
by: Ersing, Patrick, et al.
Published: (2023)
A collocation scheme that is equivalent to discontinuous Galerkin discretizations
by: Hicken, Jason
Published: (2026)
by: Hicken, Jason
Published: (2026)
Computing Radially-Symmetric Solutions of the Ultra-Relativistic Euler Equations with Entropy-Stable Discontinuous Galerkin Methods
by: Thein, Ferdinand, et al.
Published: (2025)
by: Thein, Ferdinand, et al.
Published: (2025)
Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators
by: Barsukow, Wasilij, et al.
Published: (2025)
by: Barsukow, Wasilij, et al.
Published: (2025)
Automatic differentiation for performing the Cauchy-Kovalevskaya procedure in Lax-Wendroff type discretizations
by: Babbar, Arpit, et al.
Published: (2025)
by: Babbar, Arpit, et al.
Published: (2025)
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)
by: Ngondiep, Eric
Published: (2026)
Summation-by-parts operators for general function spaces: optimal nodes
by: Hale, Nicholas, et al.
Published: (2026)
by: Hale, Nicholas, et al.
Published: (2026)
Discontinuous Galerkin methods for the complete stochastic Euler equations
by: Breit, Dominic, et al.
Published: (2024)
by: Breit, Dominic, et al.
Published: (2024)
A positivity preserving and entropy stable nodal discontinuous Galerkin scheme for ideal MHD equations
by: Wu, Yue, et al.
Published: (2026)
by: Wu, Yue, et al.
Published: (2026)
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)
by: Coquel, Frédéric, et al.
Published: (2020)
Structure-Preserving High-Order Methods for the Compressible Euler Equations in Potential Temperature Formulation for Atmospheric Flows
by: Artiano, Marco, et al.
Published: (2025)
by: Artiano, Marco, 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)
by: Ding, Huan, et al.
Published: (2025)
A Positivity-Preserving Relaxation Algorithm
by: Izgin, Thomas, et al.
Published: (2026)
by: Izgin, Thomas, et al.
Published: (2026)
Constructing stable, high-order finite-difference operators on point clouds over complex geometries
by: Hicken, Jason, et al.
Published: (2024)
by: Hicken, Jason, et al.
Published: (2024)
Numerical simulation of wormhole propagation with the mixed hybridized discontinuous Galerkin finite element method
by: Zhang, Jiansong, et al.
Published: (2025)
by: Zhang, Jiansong, et al.
Published: (2025)
High resolution methods for time dependent problems with piecewise smooth solutions
by: Tadmor, Eitan
Published: (2003)
by: Tadmor, Eitan
Published: (2003)
Stationarity preservation and the low Mach number behaviour of the Discontinuous Galerkin method on Cartesian grids
by: Barsukow, Wasilij
Published: (2025)
by: Barsukow, Wasilij
Published: (2025)
The jump filter in the discontinuous Galerkin method for hyperbolic conservation laws
by: Wei, Lei, et al.
Published: (2024)
by: Wei, Lei, et al.
Published: (2024)
The Runge--Kutta discontinuous Galerkin method with compact stencils for hyperbolic conservation laws
by: Chen, Qifan, et al.
Published: (2023)
by: Chen, Qifan, et al.
Published: (2023)
Hybrid Schwarz preconditioners for linear systems arising from hp-discontinuous Galerkin method
by: Dolejsi, Vit, et al.
Published: (2025)
by: Dolejsi, Vit, et al.
Published: (2025)
Traveling-wave solutions and structure-preserving numerical methods for a hyperbolic approximation of the Korteweg-de Vries equation
by: Biswas, Abhijit, et al.
Published: (2024)
by: Biswas, Abhijit, et al.
Published: (2024)
An efficient predictor-corrector approach with orthogonal spline collocation finite element technique for FitzHugh-Nagumo problem
by: Ngondiep, Eric
Published: (2026)
by: Ngondiep, Eric
Published: (2026)
GPU-Accelerated Energy-Conserving Methods for the Two-Dimensional Hyperbolized Serre-Green-Naghdi Equations
by: Wittenstein, Collin, et al.
Published: (2026)
by: Wittenstein, Collin, et al.
Published: (2026)
The domain-of-dependence stabilization for cut-cell meshes is fully discretely stable
by: Petri, Louis, et al.
Published: (2025)
by: Petri, Louis, et al.
Published: (2025)
Asymptotic-preserving hybridizable discontinuous Galerkin method for the Westervelt quasilinear wave equation
by: Gómez, Sergio, et al.
Published: (2024)
by: Gómez, Sergio, et al.
Published: (2024)
The Runge--Kutta discontinuous Galerkin method with stage-dependent polynomial spaces for hyperbolic conservation laws
by: Chen, Qifan, et al.
Published: (2024)
by: Chen, Qifan, 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)
by: Akrivis, Georgios, et al.
Published: (2024)
Similar Items
-
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
by: Ranocha, Hendrik, et al.
Published: (2023) -
Volume Term Adaptivity for Discontinuous Galerkin Schemes
by: Doehring, Daniel, et al.
Published: (2026) -
An optimization-based construction procedure for function space based summation-by-parts operators on arbitrary grids
by: Glaubitz, Jan, et al.
Published: (2024) -
Summation-by-parts operators for general function spaces: The second derivative
by: Glaubitz, Jan, et al.
Published: (2023) -
Domain-of-dependence-stabilized cut-cell discretizations of linear kinetic models with summation-by-parts properties
by: Petri, Louis, et al.
Published: (2026)