Article ID Journal Published Year Pages File Type
10346083 Computers & Mathematics with Applications 2015 14 Pages PDF
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 LL∗ 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.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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