Cover Image

High order numerical discretizations of the Einstein-Euler equations in the Generalized Harmonic formulation

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Muzzolon, Stefano, Dumbser, Michael, Zanotti, Olindo, Gaburro, Elena
Format:	Preprint
Published:	2025
Subjects:	Numerical Analysis General Relativity and Quantum Cosmology
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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 discontinuous Galerkin schemes with subcell finite volume limiter and adaptive mesh refinement for a monolithic first-order BSSNOK formulation of the Einstein-Euler equations
by: Dumbser, Michael, et al.
Published: (2024)

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)

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)

A polytopal discrete de Rham scheme for the exterior calculus Einstein's equations
by: Oliynyk, Todd A., et al.
Published: (2025)

Constraint-Preserving High-Order Compact OEDG Method for Spherically Symmetric Einstein-Euler System
by: Huang, Yuchen, et al.
Published: (2025)

Discontinuous Galerkin scheme for elliptic equations on extremely stretched grids
by: Vu, Nils L.
Published: (2024)

Summation by parts methods for the spherical harmonic decomposition of the wave equation in arbitrary dimensions
by: Gundlach, Carsten, et al.
Published: (2010)

Radiation outer boundary conditions and near-to-far field signal transformations for the Bardeen-Press equation
by: Bishoyi, Som Dev, et al.
Published: (2026)

DiscoTEX 1.0: Discontinuous collocation and implicit-turned-explicit (IMTEX) integration symplectic, symmetric numerical algorithms with high order jumps for differential equations II: extension to higher-orders of numerical convergence
by: Da Silva, Lidia J. Gomes
Published: (2024)

Physics-Informed Neural Networks for the Relativistic Burgers Equation in the Exterior of a Schwarzschild Black Hole
by: Xiang, Shuyang
Published: (2025)

Superconvergent Discontinuous Galerkin Method for the Scalar Teukolsky Equation on Hyperboloidal Domains: Efficient Waveform and Self-Force Computation
by: Vishal, Manas, et al.
Published: (2025)

Hyperboloidal evolution for scalar scattering in Minkowski space
by: Demirboğa, Ekrem S, et al.
Published: (2026)

From Penrose to Melrose: Computing Scattering Amplitudes at Infinity for Unbounded Media
by: Zenginoğlu, Anıl
Published: (2026)

Variational derivation and compatible discretizations of the Maxwell-GLM system
by: Dumbser, Michael, et al.
Published: (2024)

Discretizing linearized Einstein-Bianchi system by symmetric and traceless tensors
by: Guo, Yuyang, et al.
Published: (2025)

High-frequency solutions to the Einstein equations
by: Huneau, Cécile, et al.
Published: (2024)

Weak null singularity for the Einstein-Euler system
by: Song, Yuefeng
Published: (2025)

DiscoTEX 1.0: Discontinuous collocation and implicit-turned-explicit (IMTEX) integration symplectic, symmetric numerical algorithms with higher order jumps for differential equations I: numerical black hole perturbation theory applications
by: Da Silva, Lidia J. Gomes
Published: (2024)

High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov
by: Huneau, Cécile, et al.
Published: (2025)

Convergence of a particle-in-cell scheme for the spherically symmetric Vlasov-Einstein system
by: Rein, Gerhard, et al.
Published: (2002)

Conformal compactification and affine-null metric formulation of the Einstein equations
by: Mädler, Thomas, et al.
Published: (2025)

A polyhedral discrete de Rham numerical scheme for the Yang-Mills equations
by: Droniou, Jérôme, et al.
Published: (2022)

Localized big bang stability for the Einstein-scalar field equations
by: Beyer, Florian, et al.
Published: (2021)

Einstein-Maxwell Equations on Mass-Centered GCM Hypersurfaces
by: Fang, Allen Juntao, et al.
Published: (2025)

3d Summation-by-Parts scheme for Linear Wave Equations on Hyperboloidal Slices
by: Reddy, Anuraag, et al.
Published: (2026)

Big bang stability and isotropisation for the Einstein-scalar field equations in the ekpyrotic regime
by: Beyer, Florian, et al.
Published: (2026)

Hodge-Dirac wave systems and structure-preserving discretizations of the linearized Einstein equations
by: Hanot, Marien-Lorenzo, et al.
Published: (2025)

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

Conservation Laws and Boundedness for Linearised Einstein--Maxwell Equations on the Reissner--Nordström Black Hole
by: Apetroaie, Marios A., et al.
Published: (2025)

Scattering towards the singularity for the wave equation and the linearized Einstein-scalar field system in Kasner spacetimes
by: Li, Warren
Published: (2024)

Past stability of FLRW solutions to the Einstein-Euler-scalar field equations and their big bang singularites
by: Beyer, Florian, et al.
Published: (2023)

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

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

Optimal shielding for Einstein gravity
by: Floch, Bruno Le, et al.
Published: (2024)

Optimal localization for the Einstein constraints
by: Floch, Bruno Le, et al.
Published: (2023)

Future global existence and stability of de Sitter-like solutions to the Einstein-Yang-Mills equations in spacetime dimensions $n\geq 4$
by: Liu, Chao, et al.
Published: (2022)

Robust Discontinuous Galerkin Methods Maintaining Physical Constraints for General Relativistic Hydrodynamics
by: Cao, Huihui, et al.
Published: (2024)

Newly scalarization of the Einstein-Euler-Heisenberg black hole
by: Zhang, Lina, et al.
Published: (2025)

The 18-cycle in Bianchi $VI_{-1/9}^{^{*}}$: Combined Linear Local Passage and Numerical Simulation
by: Buchner, Johannes
Published: (2025)