Key elements of robustness in binary black hole evolutions using spectral methods

DOI10.1142/S0218271814300146zbMath1293.83002arXiv1405.3693MaRDI QIDQ2876544

Béla Szilágyi

Publication date: 19 August 2014

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3693

zbMATH Keywords

adaptive mesh refinementEinstein's equationsblack holesgravitational wavesspectral methodsnumerical relativity

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Black holes (83C57) Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory (83-02) Gravitational waves (83C35)

Related Items (7)

Axisymmetric hydrodynamics in numerical relativity using a multipatch method ⋮ A spectral method algorithm for numerical simulations of gravitational fields ⋮ The overlap of numerical relativity, perturbation theory and post-Newtonian theory in the binary black hole problem ⋮ Improvements to the construction of binary black hole initial data ⋮ Full 3D numerical relativity simulations of neutron star–boson star collisions with BAM ⋮ Lessons for adaptive mesh refinement in numerical relativity ⋮ A high-order shock capturing discontinuous Galerkin–finite difference hybrid method for GRMHD

Cites Work

• Adaptive mesh refinement for hyperbolic partial differential equations
• On the hyperbolicity of Einstein's and other gauge field equations
• Dynamical excision boundaries in spectral evolutions of binary black hole spacetimes
• Spectral Methods for Time-Dependent Problems
• Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations
• Einstein’s equations with asymptotically stable constraint propagation
• An explicit harmonic code for black-hole evolution using excision
• On the nonlinearity of subsidiary systems
• Geometric boundary data for the gravitational field
• Testing numerical evolution with the shifted gauge wave
• Problems which are well posed in a generalized sense with applications to the Einstein equations
• A new generalized harmonic evolution system
• Constraint damping in the Z4 formulation and harmonic gauge
• Spectral methods for hyperbolic problems

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