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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Siahaan, Antony¹  Lai, Choi-Hong¹  Pericleous, Kouhs¹ 

[1] Univ Greenwich, Sch Comp & Math Sci, London SE10 9LS, England

关键词: Quasi-Newton;    Nonlinear equations;    Nonoverlapping domain decomposition;   

DOI  :  10.1016/j.cam.2011.05.010

来源: Elsevier

【 摘 要 】

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. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free