Accession Number : ADA267965


Title :   On the A-Posteriori Estimation of the Modelling Error for the Heat Conduction in a Plate and Its Use for Adaptive Hierarchic Modelling


Descriptive Note : Final rept.,


Corporate Author : MARYLAND UNIV COLLEGE PARK INST FOR PHYSICAL SCIENCE AND TECHNOLOGY


Personal Author(s) : Babuska, I ; Lee, I ; Schwab, C


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a267965.pdf


Report Date : Apr 1993


Pagination or Media Count : 30


Abstract : The paper addresses the a-posteriori error estimates of modelling heat convection problems in a plate. it derives estimators which are essentially local (of the size of the thickness of the plate). The estimator is guaranteed to be an upper bound. The lower bound of the error is also given. The asymptotic exactness of the estimator with respect to the thickness of the plate and with respect to the order of the model is proven. The adaptive procedure based on this a-posteriori error estimator is proposed. Numerical examples are given.


Descriptors :   *CONVECTION , *HEAT , THICKNESS , ESTIMATES , ERRORS , PRECISION , PLATES , MODELS


Subject Categories : Thermodynamics


Distribution Statement : APPROVED FOR PUBLIC RELEASE