A posteriori error estimates of adaptive discontinuous Galerkin methods for monotone quasi-linear elliptic problems
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DOI: 10.25236/cape.2017.003
Author(s)
Liming Guo, Qingmin Zhang
Corresponding Author
Liming Guo
Abstract
A new residual-based a posteriori error estimator is proposed and analyzed for an incomplete interior penalty Galerkin discretization of monotone quasi-linear elliptic problems. We derive the computable upper and lower bounds on the error measured in an energy norm. It is proved that the estimator may have the same form as the continuous Galerkin finite element methods. Results of numerical example are presented.
Keywords
Incomplete interior penalty Galerkin, A posteriori error estimator, Quasi-linear elliptic problems.