Hyperboloidal layers for hyperbolic equations on unbounded domains

DOI10.1016/j.jcp.2010.12.016zbMath1210.65178arXiv1008.3809OpenAlexW2048320047MaRDI QIDQ630479

Anil Zenginoglu

Publication date: 17 March 2011

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

Full work available at URL: https://arxiv.org/abs/1008.3809

zbMATH Keywords

numerical examplesMaxwell equationsfinite differencesunbounded domainswave equationsspectral methodperfectly matched layershyperboloidal compactificationhyperboloidal layerstransparent (non reflecting, absorbing) boundary conditions

Mathematics Subject Classification ID

Wave equation (35L05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Maxwell equations (35Q61)

Related Items (9)

Strichartz estimates for the one-dimensional wave equation ⋮ A GPU-accelerated mixed-precision WENO method for extremal black hole and gravitational wave physics computations ⋮ Intermediate behavior of Kerr tails ⋮ The evolution of hyperboloidal data with the dual foliation formalism: mathematical analysis and wave equation tests ⋮ Non-homogeneous wave equation on a cone ⋮ Hyperboloidal framework for the Kerr spacetime ⋮ Discontinuous collocation methods and gravitational self-force applications ⋮ Accelerated motion and the self-force in Schwarzschild spacetime ⋮ Continuum and discrete initial-boundary value problems and Einstein's field equations

Uses Software

• SpEC

Cites Work

• Unnamed Item
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