Adaptive mesh refinement for characteristic codes

DOI10.1016/j.jcp.2004.01.001zbMath1052.65090arXivgr-qc/0302003OpenAlexW2028035930MaRDI QIDQ1877101

Frans Pretorius, Luis Lehner

Publication date: 16 August 2004

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0302003

zbMATH Keywords

algorithmnumerical examplesadaptive mesh refinementparallel computationmethod of characteristicsfinite differenceEinstein-Klein-Gordon systemwave-like equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Parallel numerical computation (65Y05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (11)

Adaptive mesh refinement for coupled elliptic-hyperbolic systems ⋮ Event and apparent horizon finders for \(3+1\) numerical relativity ⋮ A new parallel simulation technique ⋮ Excision and avoiding the use of boundary conditions in numerical relativity ⋮ Characteristic evolution and matching ⋮ Adaptive mesh refinement for characteristic grids ⋮ Characteristic evolution and matching ⋮ Fixed mesh refinement in the characteristic formulation of general relativity ⋮ Characteristic evolution and matching ⋮ PASSAGE OF RADIATION THROUGH WORMHOLES ⋮ NUMERICAL STUDY OF THE INTERACTION BETWEEN POSITIVE AND NEGATIVE MASS OBJECTS IN GENERAL RELATIVITY

Cites Work

• Adaptive mesh refinement for hyperbolic partial differential equations
• A dissipative algorithm for wave-like equations in the characteristic formulation
• Scalar field collapse in three-dimensional AdS spacetime
• Numerical relativity: a review
• Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• Einstein equations in the null quasispherical gauge
• Structure of the Black Hole's Cauchy-Horizon Singularity
• Cauchy-characteristic matching for a family of cylindrical solutions possessing both gravitational degrees of freedom
• The spherically symmetric collapse of a massless scalar field
• Characteristic evolution and matching

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