Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10346083 | Computers & Mathematics with Applications | 2015 | 14 Pages |
Abstract
Newton's method with first-order system least squares (FOSLS) finite element method has been widely used to approximately solve a system of nonlinear partial differential equations (Adler et al., 2010 [9], Codd et al., 2003 [10], Manteuffel et al., 2006 [11]). In this paper, we propose to use the first order system LLâ method to find a correction in each Newton's iteration which provides an L2-approximation of the second-order semi-linear elliptic partial differential equations while the typical Newton-FOSLS method providesH1-approximations. The numerical tests have been conducted to validate the theory.
Keywords
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Eunjung Lee,