Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures

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摘要

The discrete maximum principles are proved for finite element solutions of some nonlinear elliptic problems with mixed boundary conditions. The effect of quadrature rules, used for the construction of the stiffness matrices, is taken into account.

论文关键词：35B50,35J65,65N30,65N50,Nonlinear elliptic problem,Mixed boundary condition,Discrete maximum principle,Finite element method,Quadratures

论文评审过程：Received 15 September 2004, Revised 15 February 2005, Available online 27 June 2005.

论文官网地址：https://doi.org/10.1016/j.cam.2005.04.050