, Volume 114, Issue 1, pp 107-132
Date: 21 Jul 2009

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

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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.

The work of C. Bi is supported by the National Natural Science Foundation of China (Grant No: 10601045).