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Title: A posteriori error estimates of hp-discontinuous Galerkin method for strongly nonlinear elliptic problems
Authors: Bi, C
Wang, C
Lin, Y 
Keywords: A posteriori error estimates
Hp-discontinuous galerkin method
Residual estimator
Strongly nonlinear elliptic problems
Issue Date: 2015
Publisher: North-Holland
Source: Computer methods in applied mechanics and engineering, 2015, v. 297, p. 140-166 How to cite?
Journal: Computer methods in applied mechanics and engineering 
Abstract: 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.
ISSN: 0045-7825
DOI: 10.1016/j.cma.2015.08.017
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