Article

Numerische Mathematik

, 114:107

First online:

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

  • Chunjia BiAffiliated withDepartment of Mathematics, Yantai University
  • , Victor GintingAffiliated withDepartment of Mathematics, University of Wyoming Email author 

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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.

Mathematics Subject Classification (2000)

65N15 65N30