A residual-type a posteriori error estimate of finite volume element method for a quasi-linear elliptic problem

Authors:
Chunjia Bi;Victor Ginting
Affiliations:
Yantai University, Department of Mathematics, 264005, Shandong, People’s Republic of China;University of Wyoming, Department of Mathematics, 82071, Laramie, WY, USA
Venue:
Numerische Mathematik
Year:
2009

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Global superconvergence and a posteriori error estimates of the finite element method for second-order quasilinear elliptic problems

Journal of Computational and Applied Mathematics

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Abstract

In this paper, we analyze a residual-type a posteriori error estimator of the finite volume element method for a quasi-linear elliptic problem of nonmonotone type and derive computable upper and lower bounds on the error in the H 1-norm. Numerical experiments are provided to illustrate the performance of the proposed estimator.