Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/43459
Title: A posteriori error estimates of hp-discontinuous Galerkin method for strongly nonlinear elliptic problems
Authors: Bi, C
Wang, C
Lin, Y 
Issue Date: 2015
Source: Computer methods in applied mechanics and engineering, 2015, v. 297, p. 140-166
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.
Keywords: A posteriori error estimates
Hp-discontinuous galerkin method
Residual estimator
Strongly nonlinear elliptic problems
Publisher: Elsevier
Journal: Computer methods in applied mechanics and engineering 
ISSN: 0045-7825
DOI: 10.1016/j.cma.2015.08.017
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