Ruhollah,

> what is the original reference of Kelley error estimator which is
> available in deal ii?

@Article{GKZB83,
  author =       {Gago, J. P. de S. R. and Kelly, D. W. and Zienkiewicz, O. C.
                  and Babu\v{s}ka, I.},
  title =        {A posteriori error analysis and adaptive processes
                  in the finite element method:
                  Part {II} --- {A}daptive Mesh Refinement},
  journal =      {Int. J. Num. Meth. Engrg.},
  year =         {1983},
  volume =       {19},
  pages =        {1621--1656}
}


> is there a good survey that review recent development (after 00) in the
> field of error estimation

I would say all the major error estimation frameworks were available around 
the year 2000 and what has happened since was just to extend them to more 
and more complex problems. There are a number of books that appeared in 
the early 2000s that give reasonably good overviews, such as these:

@Book{AO00,
  author =       {M. Ainsworth and J. T. Oden},
  title =        {A Posteriori Error Estimation in Finite Element Analysis},
  publisher =    {John Wiley and Sons},
  year =         2000
}

@Book{BS01book,
  author =       {I. Babu{\v s}ka and T. Strouboulis},
  title =        {The Finite Element Method and its Reliability},
  publisher =    {Clarendon Press, New York},
  year =         2001
}

and (shameless plug):

@Book{BR03,
  author =       {W. Bangerth and R. Rannacher},
  title =        {Adaptive Finite Element Methods for
                  Differential Equations},
  publisher =    {Birkh{\"a}user Verlag},
  year =         2003
}

W.
-------------------------------------------------------------------------
Wolfgang Bangerth                email:            [EMAIL PROTECTED]
                                 www: http://www.math.tamu.edu/~bangerth/


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