Siahaan, Antony, Lai, Choi-Hong ORCID: https://orcid.org/0000-0002-7558-6398 and Pericleous, Koulis ORCID: https://orcid.org/0000-0002-7426-9999 (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)

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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
Uncontrolled Keywords:	quasi-Newton, nonlinear equations, nonoverlapping domain decomposition
Subjects:	Q Science > Q Science (General) Q Science > QA Mathematics
Pre-2014 Departments:	School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Department of Mathematical Sciences
Related URLs:	Publisher
Last Modified:	02 Mar 2019 15:52
URI:	http://gala.gre.ac.uk/id/eprint/7490

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