On the a posteriori estimation of the modeling error for the heat conduction in a plate and its use for adaptive hierarchical modeling
type: Item
instance of: scholarly article
title: On the a posteriori estimation of the modeling error for the heat conduction in a plate and its use for adaptive hierarchical modeling
zbMATH Open document ID: 0809.65095
DOI: 10.1016/0168-9274(94)90016-7
author: V. Pereyra
published in: Applied Numerical Mathematics
publication date: 1995-03-28T00:00:00Z
review text: An a posteriori estimator for the modeling error of the heat conduction in a plate is derived. It is guaranteed to be an upper bound. A lower bound of the error is also provided. The asymptotic exactness of the estimator with respect to the thickness of the plate and with respect to the order of the model is proved. An adaptive procedure using this a posteriori error estimator is proposed. Numerical examples are discussed.
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 609609
zbMATH Keywords: adaptive hierarchical modeling
zbMATH Keywords: a posteriori error estimation
zbMATH Keywords: numerical examples
zbMATH Keywords: heat conduction
zbMATH Keywords: plate
reviewed by: Roumen Anguelov
MaRDI profile type: Publication
full work available at URL: 0168-9274(94)90016-7
OpenAlex ID: W2045324214
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description: scientific article; zbMATH DE number 609609