Cover Image

High-order discontinuous Galerkin schemes with subcell finite volume limiter and adaptive mesh refinement for a monolithic first-order BSSNOK formulation of the Einstein-Euler equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Dumbser, Michael, Zanotti, Olindo, Peshkov, Ilya
Format:	Preprint
Published:	2024
Subjects:	General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A monolithic first--order BSSNOK formulation of the Einstein--Euler equations and its solution with path-conservative finite difference CWENO schemes
by: Dumbser, Michael, et al.
Published: (2024)

A well-balanced discontinuous Galerkin method for the first--order Z4 formulation of the Einstein--Euler system
by: Dumbser, Michael, et al.
Published: (2023)

High order numerical discretizations of the Einstein-Euler equations in the Generalized Harmonic formulation
by: Muzzolon, Stefano, et al.
Published: (2025)

Well-balanced high order finite difference WENO schemes for a first-order Z4 formulation of the Einstein field equations
by: Balsara, Dinshaw, et al.
Published: (2024)

Variational derivation and compatible discretizations of the Maxwell-GLM system
by: Dumbser, Michael, 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)

A simple and general framework for the construction of exactly div-curl-grad compatible discontinuous Galerkin finite element schemes on unstructured simplex meshes
by: Abgrall, R., et al.
Published: (2025)

A structure-preserving semi-implicit finite volume scheme on vertex-staggered unstructured meshes
by: Bernardelli, Elena, et al.
Published: (2026)

A semi-implicit two dimensional solver for a covariant formulation of the shallow water equations
by: Tavelli, Maurizio, et al.
Published: (2026)

High-order ADER Discontinuous Galerkin schemes for a symmetric hyperbolic model of compressible barotropic two-fluid flows
by: Río-Martín, Laura, et al.
Published: (2023)

Entropy stable discontinuous Galerkin methods for the shallow water equations with subcell positivity preservation
by: Xinhui Wu, et al.
Published: (2024)

On the order of accuracy of finite-volume schemes on unstructured meshes
by: Bakhvalov, Pavel, et al.
Published: (2024)

High order well-balanced Arbitrary-Lagrangian-Eulerian ADER discontinuous Galerkin schemes on general polygonal moving meshes
by: Gaburro, Elena
Published: (2024)

A unified SHTC multiphase model of continuum mechanics
by: Ferrari, Davide, et al.
Published: (2024)

Local subcell monolithic DG/FV convex property preserving scheme on unstructured grids and entropy consideration
by: Vilar, François
Published: (2024)

High-order accurate entropy stable schemes for compressible Euler equations with van der Waals equation of state on adaptive moving meshes
by: Li, Shangting, et al.
Published: (2024)

A discontinuous Galerkin pressure correction scheme for the Oldroyd model of order one
by: Mondal, Pratyay, et al.
Published: (2025)

Entropy stable high-order discontinuous Galerkin spectral-element methods on curvilinear, hybrid meshes
by: Keim, Jens, et al.
Published: (2025)

Convergence of a Hyperbolic Thermodynamically Compatible Finite Volume scheme for the Euler equations
by: Dumbser, Michael, et al.
Published: (2024)

An exactly curl-free finite-volume scheme for a hyperbolic compressible barotropic two-phase model
by: Río-Martín, Laura, et al.
Published: (2024)

A well-balanced gas-kinetic scheme with adaptive mesh refinement for shallow water equations
by: Liu, Gaocheng, et al.
Published: (2025)

High-order accurate structure-preserving finite volume schemes on adaptive moving meshes for shallow water equations: Well-balancedness and positivity
by: Zhang, Zhihao, et al.
Published: (2024)

A structure-preserving discontinuous Galerkin scheme for the Cahn-Hilliard equation including time adaptivity
by: Wimmer, Golo A., et al.
Published: (2024)

Non-hydrostatic mesoscale atmospheric modeling by the anisotropic mesh adaptive discontinuous Galerkin method
by: Dolejsi, Vit
Published: (2024)

A modified equation analysis for immersed boundary methods based on volume penalization: applications to linear advection-diffusion and high-order discontinuous Galerkin schemes
by: Llorente, Victor J., et al.
Published: (2022)

A robustness-enhanced reconstruction based on discontinuity feedback factor for high-order finite volume scheme
by: Zhang, Hong, et al.
Published: (2024)

Field conserving adaptive mesh refinement (AMR) scheme on massively parallel adaptive octree meshes
by: Saurabh, Kumar, et al.
Published: (2026)

A p-adaptive polytopal discontinuous Galerkin method for high-order approximation of brain electrophysiology
by: Saglio, Caterina Beatrice Leimer, et al.
Published: (2025)

A new class of efficient high order semi-Lagrangian IMEX discontinuous Galerkin methods on staggered unstructured meshes
by: Tavelli, M., et al.
Published: (2024)

A refined convergence estimate for a fourth order finite difference numerical scheme to the Cahn-Hilliard equation
by: Guo, Jing, et al.
Published: (2024)

$k\ell$-refinement: An adaptive mesh refinement scheme for hiearchical hybrid grids
by: Mann, Benjamin, et al.
Published: (2025)

High-order accurate well-balanced energy stable finite difference schemes for multi-layer shallow water equations on fixed and adaptive moving meshes
by: Zhang, Zhihao, et al.
Published: (2023)

Asymptotic-preserving semi-Lagrangian discontinuous Galerkin schemes for the Boltzmann equation
by: Cai, Xiaofeng, et al.
Published: (2025)

An asymptotic-preserving and exactly mass-conservative semi-implicit scheme for weakly compressible flows based on compatible finite elements
by: Zampa, Enrico, et al.
Published: (2024)

Structure-preserving schemes for nonlinear symmetric hyperbolic and thermodynamically compatible systems of partial differential equations
by: Lucca, Alessia, et al.
Published: (2025)

A first-order hyperbolic reformulation of the Cahn-Hilliard equation
by: Dhaouadi, Firas, et al.
Published: (2024)

Comparison between a priori and a posteriori slope limiters for high-order finite volume schemes
by: Palafoutas, Jonathan, et al.
Published: (2024)

An optimization-based positivity-preserving limiter in semi-implicit discontinuous Galerkin schemes solving Fokker-Planck equations
by: Liu, Chen, et al.
Published: (2024)

A conservative, discontinuous Galerkin, tracer transport scheme using compatible finite elements
by: Andrews, Timothy C., et al.
Published: (2026)

On the stability of finite-volume schemes on non-uniform meshes
by: Bakhvalov, Pavel, et al.
Published: (2024)