Numerische Mathematik

, 114:107

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

Article

DOI: 10.1007/s00211-009-0247-1

Cite this article as:
Bi, C. & Ginting, V. Numer. Math. (2009) 114: 107. doi:10.1007/s00211-009-0247-1

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 H1-norm. Numerical experiments are provided to illustrate the performance of the proposed estimator.

Mathematics Subject Classification (2000)

65N1565N30

Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Department of MathematicsYantai UniversityShandongPeople’s Republic of China
  2. 2.Department of MathematicsUniversity of WyomingLaramieUSA