Wolfgang,
Kelley paper is too old :o, I'm just curious that why there is not (at
least) implementatin of other methods in deal ii library which is basically
developed for AFEM (and its developpers are AFEM mans)
(ignoring dual based method) does this mean that other counterparts are
not as effective (or as general), or do not give more performance?
A very common estimator (ZZ, in particular in the field of linear
elacticity) is based on patch-wise flux recovery (C0 or H1 recovery of grad)
and computing difference between element-wise energy-norm of original
solution and recovered one at superconvergence points; barlow points; what
is your idea about this estimator; weakness or benefits; if you have some
idea?
B regards
RT
On Fri, Nov 14, 2008 at 7:03 PM, Ruhollah Tavakoli <[EMAIL PROTECTED]> wrote:
> Wolfgang,
>
> Thanks for the links.
>
> B regards
> RT
>
> On Fri, Nov 14, 2008 at 6:26 PM, Wolfgang Bangerth <
> [EMAIL PROTECTED]> wrote:
>
>>
>> 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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