A posteriori error estimates of hp-discontinuous Galerkin method for strongly nonlinear elliptic problems

被引：6

作者：

Bi, Chunjia ^{[1
]}

Wang, Cheng ^{[2
]}

Lin, Yanping ^{[3
]}

机构：

[1] Yantai Univ, Dept Math, Yantai, Shandong, Peoples R China

[2] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

[3] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2015年 / 297卷

基金：

美国国家科学基金会;

关键词：

hp-discontinuous Galerkin method; Strongly nonlinear elliptic problems; A posteriori error estimates; Residual estimator; FINITE-ELEMENT METHODS; BOUNDARY-VALUE-PROBLEMS; PARTIAL-DIFFERENTIAL-EQUATIONS; CONVECTION-DIFFUSION PROBLEMS; NONMONOTONE TYPE; APPROXIMATION; PRIORI; DISCRETIZATIONS; CONVERGENCE; VERSION;

D O I：

10.1016/j.cma.2015.08.017

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we study the residual-based a posteriori error estimates of hp-discontinuous Galerkin finite element methods for strongly nonlinear elliptic boundary value problems. Computable upper and lower bounds on the error are derived in a natural mesh-dependent energy norm. The bounds are explicit in the local mesh size and the local degree of the approximating polynomial. Numerical experiments are also provided to illustrate the performance of the proposed estimators. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：140 / 166

页数：27

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