Robust PAMPA Scheme in the DG Formulation on Unstructured Triangular Meshes: bound preservation, oscillation elimination, and boundary conditions
Fuente:
arXiv
Saved in:
| Main Authors: | Abgrall, Rémi, Liu, Yongle |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Some new properties of an Active flux type scheme: PamPa
by: Abgrall, Rémi, et al.
Published: (2025)
by: Abgrall, Rémi, et al.
Published: (2025)
A semi-discrete Active Flux method for the Euler equations on Cartesian grids
by: Abgrall, Rémi, et al.
Published: (2023)
by: Abgrall, Rémi, et al.
Published: (2023)
A Well-Balanced Method for an Unstaggered Central Scheme, the two-space Dimensional Case
by: Cheng, Yu-Chen, et al.
Published: (2024)
by: Cheng, Yu-Chen, et al.
Published: (2024)
Provably fully discrete energy-stable and asymptotic-preserving scheme for barotropic Euler equations
by: Anandan, Megala, et al.
Published: (2025)
by: Anandan, Megala, 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)
by: Berthon, Christophe, et al.
Published: (2024)
Entropy stable flux correction for hydrostatic reconstruction scheme for shallow water flows
by: Kivva, Sergii
Published: (2023)
by: Kivva, Sergii
Published: (2023)
The Onsager principle and structure preserving numerical schemes
by: Chen, Huangxin, et al.
Published: (2024)
by: Chen, Huangxin, et al.
Published: (2024)
Drift-Free Conservative Dynamics from Quantized Interaction Rules
by: Junhu, Park, et al.
Published: (2026)
by: Junhu, Park, et al.
Published: (2026)
An Asymptotic Preserving and Energy Stable Scheme for the Euler System with Congestion Constraint
by: Arun, K. R., et al.
Published: (2024)
by: Arun, K. R., et al.
Published: (2024)
Bound-Preserving Framework for Central-Upwind Schemes for General Hyperbolic Conservation Laws
by: Cui, Shumo, et al.
Published: (2024)
by: Cui, Shumo, et al.
Published: (2024)
Towards a fully well-balanced and entropy-stable scheme for the Euler equations with gravity: General equations of state
by: Michel-Dansac, Victor, et al.
Published: (2024)
by: Michel-Dansac, Victor, et al.
Published: (2024)
A MUSCL-Hancock scheme for non-local conservation laws
by: Manoj, Nikhil, et al.
Published: (2025)
by: Manoj, Nikhil, et al.
Published: (2025)
Implicit dual time-stepping positivity-preserving entropy-stable schemes for the compressible Navier-Stokes equations
by: Sayyari, Mohammed, et al.
Published: (2025)
by: Sayyari, Mohammed, et al.
Published: (2025)
Preconditioning and Linearly Implicit Time Integration for the Serre-Green-Naghdi Equations
by: Feng, Linwan, et al.
Published: (2025)
by: Feng, Linwan, et al.
Published: (2025)
Bound preserving {P}oint-{A}verage-{M}oment {P}olynomi{A}l-interpreted ({PAMPA}) on polygonal meshes
by: Abgrall, Rémi, et al.
Published: (2025)
by: Abgrall, Rémi, et al.
Published: (2025)
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)
Fourth-order Adaptive Mesh Refinement both in space and in time for incompressible Navier-Stokes equations with Dirichlet boundary conditions
by: Zhao, Shubo, et al.
Published: (2025)
by: Zhao, Shubo, et al.
Published: (2025)
An Energy Stable and Well-balanced Scheme for the Ripa System
by: Arun, K. R., et al.
Published: (2024)
by: Arun, K. R., et al.
Published: (2024)
A robust iterative scheme for the slightly compressible Darcy-Forchheimer equations
by: Portero, Laura, et al.
Published: (2026)
by: Portero, Laura, et al.
Published: (2026)
Virtual finite element and hyperbolic problems: the PAMPA algorithm
by: Abgrall, Rémi, et al.
Published: (2024)
by: Abgrall, Rémi, et al.
Published: (2024)
An Asymptotic Preserving Scheme for the Euler-Poisson-Boltzmann System in the Quasineutral Limit
by: Arun, K. R., et al.
Published: (2024)
by: Arun, K. R., et al.
Published: (2024)
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)
Spline Shallow Water Moment Equations
by: Scholz, Ullika, et al.
Published: (2025)
by: Scholz, Ullika, 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)
by: Raveendran, Neethu Suma, et al.
Published: (2024)
High-Order ADER-DG Hydrodynamics with ExaHyPE: Implementation, Validation, and Astrophysical Benchmarking
by: Mantilla, Andrés Mauricio Suárez, et al.
Published: (2026)
by: Mantilla, Andrés Mauricio Suárez, et al.
Published: (2026)
Convergent numerical schemes for the viscoelastic Giesekus model in two dimensions
by: Süli, Endre, et al.
Published: (2025)
by: Süli, Endre, et al.
Published: (2025)
Error analysis of a divergence-preserving mixed finite element scheme for the incompressible Hall--magnetohydrodynamic equations
by: Goldys, Beniamin, et al.
Published: (2026)
by: Goldys, Beniamin, et al.
Published: (2026)
Second-order invariant-domain preserving approximation to the multi-species Euler equations
by: Clayton, Bennett, et al.
Published: (2025)
by: Clayton, Bennett, et al.
Published: (2025)
An Asymptotic-Preserving Scheme for Isentropic Flow in Pipe Networks
by: Redle, Michael, et al.
Published: (2024)
by: Redle, Michael, et al.
Published: (2024)
Convergence analysis of structure-preserving schemes for the multicomponent compressible Euler flows
by: Agnihotri, Jaya, et al.
Published: (2026)
by: Agnihotri, Jaya, et al.
Published: (2026)
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)
by: Li, Xiaoli, et al.
Published: (2026)
A conservative invariant-domain preserving projection technique for hyperbolic systems under adaptive mesh refinement
by: Harmon, Jake, et al.
Published: (2025)
by: Harmon, Jake, et al.
Published: (2025)
Efficient and Optimally Accurate Numerical Algorithms for Stochastic Turbulent Flow Problems
by: Berry, Brandiece N., et al.
Published: (2025)
by: Berry, Brandiece N., et al.
Published: (2025)
Convergence of a Finite Volume Scheme for the Navier-Stokes-Korteweg Model via Dissipative Solutions
by: Giesselmann, Jan, et al.
Published: (2026)
by: Giesselmann, Jan, et al.
Published: (2026)
Local linear stability of dual-pairing summation-by-parts methods for nonlinear conservation laws
by: Stewart, Dougal, et al.
Published: (2026)
by: Stewart, Dougal, et al.
Published: (2026)
The Fourier spectral approach to the spatial discretization of quasilinear hyperbolic systems
by: Duchêne, Vincent, et al.
Published: (2025)
by: Duchêne, Vincent, 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)
Stable Spectral-Volume Methods
by: Schadt, Lena
Published: (2025)
by: Schadt, Lena
Published: (2025)
Entropy stable hydrostatic reconstruction schemes for shallow water systems
by: Ersing, Patrick, et al.
Published: (2024)
by: Ersing, Patrick, et al.
Published: (2024)
A novel iterative time integration scheme for linear poroelasticity
by: Altmann, R., et al.
Published: (2023)
by: Altmann, R., et al.
Published: (2023)
Similar Items
-
Some new properties of an Active flux type scheme: PamPa
by: Abgrall, Rémi, et al.
Published: (2025) -
A semi-discrete Active Flux method for the Euler equations on Cartesian grids
by: Abgrall, Rémi, et al.
Published: (2023) -
A Well-Balanced Method for an Unstaggered Central Scheme, the two-space Dimensional Case
by: Cheng, Yu-Chen, et al.
Published: (2024) -
Provably fully discrete energy-stable and asymptotic-preserving scheme for barotropic Euler equations
by: Anandan, Megala, 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)