### Abstract

The construction of fast iterative solvers for the indefinite time-harmonic Maxwell’s system at mid- to high-frequency is a problem of great current interest. Some of the difficulties that arise are similar to those encountered in the case of the mid- to high-frequency Helmholtz equation. Here we investigate how two-level domain-decomposition preconditioners recently proposed for the Helmholtz equation work in the Maxwell case, both from the theoretical and numerical points of view.

Original language | English |
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Title of host publication | Domain Decomposition Methods in Science and Engineering XXIV. DD 2017 |

Editors | P. Bjorstad |

Place of Publication | Cham, Switzerland |

Publisher | Springer Verlag |

Pages | 149-157 |

Number of pages | 9 |

ISBN (Electronic) | 9783319938738 |

ISBN (Print) | 9783319938721 |

DOIs | |

Publication status | Published - 1 Jan 2018 |

### Publication series

Name | Lecture Notes in Computational Science and Engineering |
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Volume | 125 |

### ASJC Scopus subject areas

- Modelling and Simulation
- Engineering(all)
- Discrete Mathematics and Combinatorics
- Control and Optimization
- Computational Mathematics

### Cite this

*Domain Decomposition Methods in Science and Engineering XXIV. DD 2017*(pp. 149-157). (Lecture Notes in Computational Science and Engineering; Vol. 125). Cham, Switzerland: Springer Verlag. https://doi.org/10.1007/978-3-319-93873-8_12

**A two-level domain-decomposition preconditioner for the time-harmonic maxwell’s equations.** / Bonazzoli, Marcella; Dolean, Victorita; Graham, Ivan G.; Spence, Euan A.; Tournier, Pierre Henri.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Domain Decomposition Methods in Science and Engineering XXIV. DD 2017.*Lecture Notes in Computational Science and Engineering, vol. 125, Springer Verlag, Cham, Switzerland, pp. 149-157. https://doi.org/10.1007/978-3-319-93873-8_12

}

TY - CHAP

T1 - A two-level domain-decomposition preconditioner for the time-harmonic maxwell’s equations

AU - Bonazzoli, Marcella

AU - Dolean, Victorita

AU - Graham, Ivan G.

AU - Spence, Euan A.

AU - Tournier, Pierre Henri

PY - 2018/1/1

Y1 - 2018/1/1

N2 - The construction of fast iterative solvers for the indefinite time-harmonic Maxwell’s system at mid- to high-frequency is a problem of great current interest. Some of the difficulties that arise are similar to those encountered in the case of the mid- to high-frequency Helmholtz equation. Here we investigate how two-level domain-decomposition preconditioners recently proposed for the Helmholtz equation work in the Maxwell case, both from the theoretical and numerical points of view.

AB - The construction of fast iterative solvers for the indefinite time-harmonic Maxwell’s system at mid- to high-frequency is a problem of great current interest. Some of the difficulties that arise are similar to those encountered in the case of the mid- to high-frequency Helmholtz equation. Here we investigate how two-level domain-decomposition preconditioners recently proposed for the Helmholtz equation work in the Maxwell case, both from the theoretical and numerical points of view.

UR - http://www.scopus.com/inward/record.url?scp=85060277513&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-93873-8_12

DO - 10.1007/978-3-319-93873-8_12

M3 - Chapter

SN - 9783319938721

T3 - Lecture Notes in Computational Science and Engineering

SP - 149

EP - 157

BT - Domain Decomposition Methods in Science and Engineering XXIV. DD 2017

A2 - Bjorstad, P.

PB - Springer Verlag

CY - Cham, Switzerland

ER -