A unifying algebraic framework for discontinuous Galerkin and flux reconstruction methods based on the summation-by-parts property
Fuente:
arXiv
Saved in:
| Main Authors: | Montoya, Tristan, Zingg, David W. |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods
by: Glaubitz, Jan, et al.
Published: (2024)
by: Glaubitz, Jan, et al.
Published: (2024)
Efficient Entropy-Stable Discontinuous Spectral-Element Methods Using Tensor-Product Summation-by-Parts Operators on Triangles and Tetrahedra
by: Montoya, Tristan, et al.
Published: (2023)
by: Montoya, Tristan, et al.
Published: (2023)
Efficient Tensor-Product Spectral-Element Operators with the Summation-by-Parts Property on Curved Triangles and Tetrahedra
by: Montoya, Tristan, et al.
Published: (2023)
by: Montoya, Tristan, 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)
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)
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)
A collocation scheme that is equivalent to discontinuous Galerkin discretizations
by: Hicken, Jason
Published: (2026)
by: Hicken, Jason
Published: (2026)
Entropy-split multidimensional summation-by-parts discretization of the Euler and compressible Navier-Stokes equations
by: Worku, Zelalem Arega, et al.
Published: (2023)
by: Worku, Zelalem Arega, et al.
Published: (2023)
A polytopal discontinuous Galerkin method for the pseudo-stress formulation of the unsteady Stokes problem
by: Antonietti, Paola F., et al.
Published: (2024)
by: Antonietti, Paola F., et al.
Published: (2024)
Polytopal discontinuous Galerkin methods for low-frequency poroelasticity coupled to unsteady Stokes flow
by: Botti, Michele, et al.
Published: (2025)
by: Botti, Michele, et al.
Published: (2025)
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)
hp-version analysis for arbitrarily shaped elements on the boundary discontinuous Galerkin method for Stokes systems
by: Karatzas, Efthymios N.
Published: (2023)
by: Karatzas, Efthymios N.
Published: (2023)
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)
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)
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)
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)
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)
On the Practical Impact of Local Linear Instabilities in Entropy-Stable Schemes
by: Bercik, Alex, et al.
Published: (2026)
by: Bercik, Alex, et al.
Published: (2026)
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)
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)
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)
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)
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)
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 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)
A hybrid numerical method for elastic wave propagation in discontinuous media with complex geometry
by: Granath, Andreas, et al.
Published: (2024)
by: Granath, Andreas, et al.
Published: (2024)
High order Lagrange-Galerkin methods for the conservative formulation of the advection-diffusion equation
by: Bermejo, Rodolfo, et al.
Published: (2024)
by: Bermejo, Rodolfo, et al.
Published: (2024)
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)
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)
by: Antonietti, Paola F., et al.
Published: (2026)
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)
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)
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)
Nodal finite element approximation of peridynamics
by: Jha, Prashant K., et al.
Published: (2024)
by: Jha, Prashant K., et al.
Published: (2024)
Hybridizable discontinuous Galerkin methods for solving the two-fluid plasma model
by: Ho, Andrew, et al.
Published: (2024)
by: Ho, Andrew, et al.
Published: (2024)
A discontinuous Galerkin method for one-dimensional nonlocal wave problems
by: Du, Qiang, et al.
Published: (2025)
by: Du, Qiang, 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)
Convergence of entropy-stable continuous summation-by-parts discretizations of symmetric hyperbolic conservation laws
by: Worku, Zelalem Arega, et al.
Published: (2026)
by: Worku, Zelalem Arega, et al.
Published: (2026)
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)
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)
by: Bercik, Alex, et al.
Published: (2025)
Summation-by-parts operators for general function spaces: optimal nodes
by: Hale, Nicholas, et al.
Published: (2026)
by: Hale, Nicholas, et al.
Published: (2026)
Similar Items
-
Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods
by: Glaubitz, Jan, et al.
Published: (2024) -
Efficient Entropy-Stable Discontinuous Spectral-Element Methods Using Tensor-Product Summation-by-Parts Operators on Triangles and Tetrahedra
by: Montoya, Tristan, et al.
Published: (2023) -
Efficient Tensor-Product Spectral-Element Operators with the Summation-by-Parts Property on Curved Triangles and Tetrahedra
by: Montoya, Tristan, 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) -
An optimization-based construction procedure for function space based summation-by-parts operators on arbitrary grids
by: Glaubitz, Jan, et al.
Published: (2024)