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

✍ Scribed by Antony Siahaan; Choi-Hong Lai; Koulis Pericleous

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 278 KB
• Volume: 235
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2011.05.010

✦ Synopsis

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.