### Abstract

Extreme-mass-ratio binary systems, binaries involving stellar mass objects orbiting massive black holes, are considered to be a primary source of gravitational radiation to be detected by the space-based interferometer LISA. The numerical modelling of these binary systems is extremely challenging because the scales involved expand over several orders of magnitude. One needs to handle large wavelength scales comparable to the size of the massive black hole and, at the same time, to resolve the scales in the vicinity of the small companion where radiation reaction effects play a crucial role. Adaptive finite element methods, in which quantitative control of errors is achieved automatically by finite element mesh adaptivity based on a posteriori error estimation, are a natural choice that has great potential for achieving the high level of adaptivity required in these simulations. To demonstrate this, we present the results of simulations of a toy model, consisting of a point-like source orbiting a black hole under the action of a scalar gravitational field.

Original language | English (US) |
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Pages (from-to) | 251-285 |

Number of pages | 35 |

Journal | Classical and Quantum Gravity |

Volume | 23 |

Issue number | 1 |

DOIs | |

State | Published - Jan 7 2006 |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy (miscellaneous)

### Cite this

*Classical and Quantum Gravity*,

*23*(1), 251-285. https://doi.org/10.1088/0264-9381/23/1/013

}

*Classical and Quantum Gravity*, vol. 23, no. 1, pp. 251-285. https://doi.org/10.1088/0264-9381/23/1/013

**A toy model for testing finite element methods to simulate extreme-mass-ratio binary systems.** / Sopuerta, Carlos F.; Sun, Pengtao; Laguna, Pablo; Xu, Jinchao.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A toy model for testing finite element methods to simulate extreme-mass-ratio binary systems

AU - Sopuerta, Carlos F.

AU - Sun, Pengtao

AU - Laguna, Pablo

AU - Xu, Jinchao

PY - 2006/1/7

Y1 - 2006/1/7

N2 - Extreme-mass-ratio binary systems, binaries involving stellar mass objects orbiting massive black holes, are considered to be a primary source of gravitational radiation to be detected by the space-based interferometer LISA. The numerical modelling of these binary systems is extremely challenging because the scales involved expand over several orders of magnitude. One needs to handle large wavelength scales comparable to the size of the massive black hole and, at the same time, to resolve the scales in the vicinity of the small companion where radiation reaction effects play a crucial role. Adaptive finite element methods, in which quantitative control of errors is achieved automatically by finite element mesh adaptivity based on a posteriori error estimation, are a natural choice that has great potential for achieving the high level of adaptivity required in these simulations. To demonstrate this, we present the results of simulations of a toy model, consisting of a point-like source orbiting a black hole under the action of a scalar gravitational field.

AB - Extreme-mass-ratio binary systems, binaries involving stellar mass objects orbiting massive black holes, are considered to be a primary source of gravitational radiation to be detected by the space-based interferometer LISA. The numerical modelling of these binary systems is extremely challenging because the scales involved expand over several orders of magnitude. One needs to handle large wavelength scales comparable to the size of the massive black hole and, at the same time, to resolve the scales in the vicinity of the small companion where radiation reaction effects play a crucial role. Adaptive finite element methods, in which quantitative control of errors is achieved automatically by finite element mesh adaptivity based on a posteriori error estimation, are a natural choice that has great potential for achieving the high level of adaptivity required in these simulations. To demonstrate this, we present the results of simulations of a toy model, consisting of a point-like source orbiting a black hole under the action of a scalar gravitational field.

UR - http://www.scopus.com/inward/record.url?scp=29144498158&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=29144498158&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/23/1/013

DO - 10.1088/0264-9381/23/1/013

M3 - Article

AN - SCOPUS:29144498158

VL - 23

SP - 251

EP - 285

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 1

ER -