@article {MR2557871,
    AUTHOR = {Bi, C. and Ginting, V.},
     TITLE = {A {R}esidual-{T}ype {A} {P}osteriori {E}rror {E}stimate of {F}inite {V}olume
              {E}lement {M}ethod for a {Q}uasi-{L}inear {E}lliptic {P}roblem},
   JOURNAL = {Numer. Math.},
  FJOURNAL = {Numerische Mathematik},
    VOLUME = {114},
      YEAR = {2009},
    NUMBER = {1},
     PAGES = {107-132},
      ISSN = {0029-599X},
     CODEN = {NUMMA7},
   MRCLASS = {65N08 (35J62 65N15)},
  MRNUMBER = {2557871 (2011k:65147)},
MRREVIEWER = {Pascal Omnes},
       DOI = {10.1007/s00211-009-0247-1},
       URL = {http://dx.doi.org/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 <i>H</i><sup>1</sup>-norm. Numerical experiments are provided to illustrate the performance of the proposed estimator."
}

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