DISCONTINUOUS GALERKIN METHOD FOR MONOTONE NONLINEAR ELLIPTIC PROBLEMS

被引：0
|
作者：
Bi, Chunjia [1 ]
Lin, Yanping [2 ]
机构：
[1] Yantai Univ, Dept Math, Yantai 264005, Shandong, Peoples R China
[2] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2012年 / 9卷 / 04期
关键词：
discontinuous Galerkin method; nonlinear elliptic problems; monotone; a priori error estimate; a posteriori error estimate; FINITE-ELEMENT-METHOD; BOUNDARY-VALUE-PROBLEMS; CONVECTION-DIFFUSION EQUATIONS; POSTERIORI ERROR ESTIMATION; HP-VERSION; INTERIOR PENALTIES; NONMONOTONE TYPE; APPROXIMATION; COEFFICIENTS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the incomplete interior penalty method for a class of second order monotone nonlinear elliptic problems. Using the theory of monotone operators, we show that the corresponding discrete method has a unique solution. The a priori error estimate in an energy norm is developed under the minimal regularity assumption on the exact solution, i.e., u is an element of H-1(Omega). Moreover, we propose a residual-based a posteriori error estimator and derive the computable upper and lower bounds on the error in an energy norm.
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页码：999 / 1024
页数：26
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