# Local convergence of an adaptive scalar method and its application in a nonoverlapping domain decomposition scheme

Siahaan, Antony, Lai, Choi-Hong and Pericleous, Koulis
(2011)
*Local convergence of an adaptive scalar method and its application in a nonoverlapping domain decomposition scheme.*
Journal of Computational and Applied Mathematics, 235 (17).
pp. 5203-5212.
ISSN 0377-0427
(doi:10.1016/j.cam.2011.05.010)

## Abstract

In this paper, we demonstrate a local convergence of an adaptive scalar solver which is practical for strongly diagonal dominant Jacobian problems such as in some systems of nonlinear equations arising from the application of a nonoverlapping domain decomposition method. The method is tested to a nonlinear interface problem of a multichip heat conduction problem. The numerical results show that the method performs slightly better than a Newton–Krylov method.

Item Type: | Article |
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Uncontrolled Keywords: | quasi-Newton, nonlinear equations, nonoverlapping domain decomposition |

Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |

School / Department / Research Groups: | School of Computing & Mathematical Sciences Faculty of Architecture, Computing & Humanities > School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Department of Mathematical Sciences Faculty of Architecture, Computing & Humanities > School of Computing & Mathematical Sciences > Department of Mathematical Sciences |

Related URLs: | |

Last Modified: | 15 Jul 2013 15:54 |

URI: | http://gala.gre.ac.uk/id/eprint/7490 |

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