期刊名称：International Journal of Differential Equations
印刷版ISSN：1687-9643
电子版ISSN：1687-9651
出版年度：2006
卷号：2006
DOI：10.1155/DENM/2006/31797
出版社：Hindawi Publishing Corporation
摘要：We present a finite volume discretization of the nonlinear
elliptic problems. The discretization results in a nonlinear
algebraic system of equations. A Newton-Krylov algorithm is also
presented for solving the system of nonlinear algebraic
equations. Numerically solving nonlinear partial differential
equations consists of discretizing the nonlinear partial
differential equation and then solving the formed nonlinear
system of equations. We demonstrate the convergence of the
discretization scheme and also the convergence of the Newton
solver through a variety of practical numerical examples.
