Adaptive mesh refinement for characteristic grids
DOI10.1007/s10714-010-1096-zzbMath1216.65123arXiv0909.0036OpenAlexW3104389048MaRDI QIDQ540496
Publication date: 3 June 2011
Published in: General Relativity and Gravitation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.0036
adaptive mesh refinementBerger-Oliger algorithmcharacteristic coordinatescharacteristic gridsfinite differencing
KdV equations (Korteweg-de Vries equations) (35Q53) Wave equation (35L05) 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)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Adaptive mesh refinement for hyperbolic partial differential equations
- Non-reflecting boundary conditions
- Adaptive mesh refinement for coupled elliptic-hyperbolic systems
- Local adaptive mesh refinement for shock hydrodynamics
- Evolution of scalar fields from characteristic data
- PARAMESH: A parallel adaptive mesh refinement community toolkit
- Adaptive mesh refinement for characteristic codes
- Numerical approximations of singular source terms in differential equations
- A new adaptive mesh refinement strategy for numerically solving evolutionary PDE's
- Critical collapse of the massless scalar field in axisymmetry
- Data Structures for Adaptive Grid Generation
- Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations
- Relativistic MHD with adaptive mesh refinement
- Towards absorbing outer boundaries in general relativity
- Reducing phase error in long numerical binary black hole evolutions with sixth-order finite differencing
- Constraint-preserving boundary treatment for a harmonic formulation of the Einstein equations
- Testing outer boundary treatments for the Einstein equations
- Implementation of higher-order absorbing boundary conditions for the Einstein equations
- Gravitational self-force in extreme mass-ratio inspirals
- An axisymmetric gravitational collapse code
- Evolutions in 3D numerical relativity using fixed mesh refinement
- Finite Volume Methods for Hyperbolic Problems
- Efficiency Gains from Time Refinement on AMR Meshes and Explicit Timestepping
- Managing application complexity in the SAMRAI object‐oriented framework
- The nonlinear sigma model with distributed adaptive mesh refinement
- The spherically symmetric collapse of a massless scalar field
- Improved outer boundary conditions for Einstein's field equations
- Outer boundary conditions for Einstein's field equations in harmonic coordinates
- AMR, stability and higher accuracy
- A time-domain fourth-order-convergent numerical algorithm to integrate black hole perturbations in the extreme-mass-ratio limit
- General Relativity
- Parallelization of structured, hierarchical adaptive mesh refinement algorithms
