MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Dual Functions for a Parallel Adaptive Method

Randolph Bank and Jeffrey Ovall


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.

MSC Codes:
65N30, 65N50, 65Y05
dual functions, Bank-Host algorithm, parallel adaptive grid generation

Related publications

2007 Repository Open Access
Randolph E. Bank and Jeffrey S. Ovall

Dual functions for a parallel adaptive method

In: SIAM journal on scientific computing, 29 (2007) 4, pp. 1511-1524