Cover Image

Positivity-preserving Well-balanced PAMPA Schemes with Global Flux quadrature for One-dimensional Shallow Water Models

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Abgrall, Remi, Liu, Yongle, Ricchiuto, Mario
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A New Approach for Designing Well-Balanced Schemes for the Shallow Water Equations: A Combination of Conservative and Primitive Formulations
by: Abgrall, Remi, et al.
Published: (2023)

Bound preserving Point-Average-Moment PolynomiAl-interpreted (PAMPA) scheme: one-dimensional case
by: Abgrall, Rémi, et al.
Published: (2024)

Stationarity preserving nodal Finite Element methods for multi-dimensional linear hyperbolic balance laws via a Global Flux quadrature formulation
by: Barsukow, Wasilij, et al.
Published: (2025)

Structure preserving nodal continuous Finite Elements via Global Flux quadrature
by: Barsukow, Wasilij, et al.
Published: (2024)

Robust PAMPA Scheme in the DG Formulation on Unstructured Triangular Meshes: bound preservation, oscillation elimination, and boundary conditions
by: Abgrall, Rémi, et al.
Published: (2025)

Novel well-balanced continuous interior penalty stabilizations
by: Micalizzi, Lorenzo, et al.
Published: (2023)

A Well-balanced Point-Average-Moment PolynomiAl-interpreted (PAMPA) Method for Shallow Water Equations with Horizontal Temperature Gradients
by: Liu, Yongle
Published: (2024)

A Novel and Simple Invariant-Domain-Preserving Framework for PAMPA Scheme: 1D Case
by: Abgrall, Rémi, et al.
Published: (2024)

Virtual finite element and hyperbolic problems: the PAMPA algorithm
by: Abgrall, Rémi, et al.
Published: (2024)

A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions
by: Wissocq, Gauthier, et al.
Published: (2024)

Bound preserving {P}oint-{A}verage-{M}oment {P}olynomi{A}l-interpreted ({PAMPA}) on polygonal meshes
by: Abgrall, Rémi, et al.
Published: (2025)

Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Schemes for Shallow Water Linearized Moment Equations
by: Cao, Yangyang, et al.
Published: (2025)

Embedding General Conservation Constraints in Discretizations of Hyperbolic Systems on Arbitrary Meshes: A Multidimensional Framework
by: Abgrall, Rémi, et al.
Published: (2025)

An Arbitrarily High-Order Fully Well-balanced Hybrid Finite Element-Finite Volume Method for a One-dimensional Blood Flow Model
by: Liu, Yongle, et al.
Published: (2024)

Approximate well-balanced WENO finite difference schemes using a global-flux quadrature method with multi-step ODE integrator weights
by: Kazolea, Maria, et al.
Published: (2025)

Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form
by: Ranocha, Hendrik, et al.
Published: (2024)

Active flux for triangular meshes for compressible flows problems
by: Abgrall, Rémi, et al.
Published: (2023)

Genuinely multi-dimensional stationarity preserving Finite Volume formulation for nonlinear hyperbolic PDEs
by: Barsukow, Wasilij, et al.
Published: (2025)

Arbitrary order stationarity preserving stabilized finite elements for multidimensional nonlinear hyperbolic problems. Application to the Euler equations with gravity
by: Ziggaf, Moussa, et al.
Published: (2026)

On structure-preserving and pointwise conservative continuous DG schemes for hyperbolic systems
by: Abgrall, Rémi, et al.
Published: (2026)

Some new properties of an Active flux type scheme: PamPa
by: Abgrall, Rémi, et al.
Published: (2025)

A Well-Balanced Fifth-Order A-WENO Scheme Based on Flux Globalization
by: Chu, Shaoshuai, et al.
Published: (2024)

A discontinuous Galerkin spectral element method for a nonconservative compressible multicomponent flow model
by: Abgrall, Rémi, et al.
Published: (2022)

An active-flux-type scheme for ideal MHD with provable positivity and discrete divergence-free property
by: Liu, Mengqing, et al.
Published: (2025)

On general and complete multidimensional Riemann solvers for nonlinear systems of hyperbolic conservation laws
by: Gaburro, Elena, et al.
Published: (2025)

Semi-implicit strategies for the Serre-Green-Naghdi equations in hyperbolic form. Is hyperbolic relaxation really a good idea?
by: Macca, Emanuele, et al.
Published: (2025)

A Well-Balanced Space-Time ALE Compact Gas-Kinetic Scheme for the Shallow Water Equations on Unstructured Meshes
by: Zhao, Fengxiang, et al.
Published: (2025)

Dual Formulation Finite-Volume Methods on Overlapping Meshes for Hyperbolic Conservation Laws
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)

Extrapolated Shock Tracking: Bridging shock-fitting and embedded boundary methods
by: Ciallella, Mirco, et al.
Published: (2024)

Discontinuous Galerkin schemes for hyperbolic systems in non-conservative variables: quasi-conservative formulation with subcell finite volume corrections
by: Gaburro, Elena, et al.
Published: (2024)

Provably realizability-preserving finite volume method for quadrature-based moment models of kinetic equations
by: Fan, Chuan, et al.
Published: (2025)

A Schrödinger-Based Dispersive Regularization Approach for Numerical Simulation of One-Dimensional Shallow Water Equations
by: Fu, Guosheng, et al.
Published: (2026)

An Explicit Primitive Conservative Solver for the Euler Equations with Arbitrary Equation of State
by: Sirianni, Giuseppe, et al.
Published: (2024)

Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks
by: Magueresse, Alexandre, et al.
Published: (2023)

Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for shallow water linearized moment equations
by: Fan, Ruilin, et al.
Published: (2025)

Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for two-layer shallow water equations
by: Zhang, Jiahui, et al.
Published: (2024)

Well-Balanced Subcell Limiting for Discontinuous Galerkin Discretizations of the Shallow-Water Equations
by: Rueda-Ramírez, Andrés M., et al.
Published: (2026)

A structure-preserving collisional particle method for the Landau kinetic equation
by: Du, Kai, et al.
Published: (2024)

A semi-implicit exactly fully well-balanced relaxation scheme for the Shallow Water Linearized Moment Equations
by: Caballero-Cárdenas, C., et al.
Published: (2025)