文章基本信息

标题：Nonlinear elliptic problems with the method of finite volumes
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作者：Sanjay Kumar Khattri
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.