Dual Functions for a Parallel Adaptive Method
Randolph Bank and Jeffrey Ovall
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Submission date: 25. Aug. 2006 (revised version: February 2007)
published in: SIAM journal on scientific computing, 29 (2007) 4, p. 1511-1524
DOI number (of the published article): 10.1137/060668304
MSC-Numbers: 65N30, 65N50, 65Y05
Keywords and phrases: dual functions, Bank-Host algorithm, parallel adaptive grid generation
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In this paper, we investigate the effects of pollution error on the performance of the parallel adaptive finite element technique proposed by Bank and Holst in 2000. In particular, we consider whether the performance of the algorithm as it was originally proposed can be improved through the use of certain dual functions which give indication of global influences on subdomain errors.