A posteriori estimation of the linearization error for strongly monotone nonlinear operators

Authors:
Alexandra Chaillou;Manil Suri
Affiliations:
Department of Mathematics, College of Notre Dame, Baltimore, MD 21210, USA;Department of Mathematics and Statistics, University of Maryland Baltimore County, Baltimore, MD 21250, USA
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 1
Cited 1

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Abstract

We investigate the a posteriori estimation of the modeling (or linearization) error which arises when a nonlinear problem is replaced by a linear model. Using the context of strongly monotone operators, we construct a computable upper estimator for this error, and also provide an estimator that gives a lower bound. Several numerical results illustrating our theory are provided.