Estimation of Local Modeling Error and GoalOriented Adaptive Modeling of Heterogeneous Materials; Part II : A Computational Environment for Adaptive Modeling of Heterogeneous Elastic Solids

by: K Vemaganti, J Oden

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Abstract

. A theory of a posteriori estimation of modeling errors in local quantities of interest in the analysis of heterogeneous elastic solids is presented. These quantities may, for example, represent averaged stresses on the surface of inclusions or mollications of pointwise stresses or displacements, or, in general, local features of the \ne-scale" solution characterized by continuous linear functionals. These estimators are used to construct goal-oriented adaptive procedures in which models of...

@misc{citeulike:2389611, abstract = {. A theory of a posteriori estimation of modeling errors in local quantities of interest in the analysis of heterogeneous elastic solids is presented. These quantities may, for example, represent averaged stresses on the surface of inclusions or mollications of pointwise stresses or displacements, or, in general, local features of the \ne-scale\" solution characterized by continuous linear functionals. These estimators are used to construct goal-oriented adaptive procedures in which models of...}, author = {Vemaganti, K. and Oden, J. }, citeulike-article-id = {2389611}, keywords = {estimation, heterogeneous, multiscale}, posted-at = {2008-02-17 01:29:52}, priority = {2}, title = {Estimation of Local Modeling Error and GoalOriented Adaptive Modeling of Heterogeneous Materials; Part II : A Computational Environment for Adaptive Modeling of Heterogeneous Elastic Solids}, url = {http://citeseer.ist.psu.edu/426058.html} }

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TY - GEN ID - citeulike:2389611 L3 - citeulike-article-id:2389611 TI - Estimation of Local Modeling Error and GoalOriented Adaptive Modeling of Heterogeneous Materials; Part II : A Computational Environment for Adaptive Modeling of Heterogeneous Elastic Solids N2 - . A theory of a posteriori estimation of modeling errors in local quantities of interest in the analysis of heterogeneous elastic solids is presented. These quantities may, for example, represent averaged stresses on the surface of inclusions or mollications of pointwise stresses or displacements, or, in general, local features of the \ne-scale" solution characterized by continuous linear functionals. These estimators are used to construct goal-oriented adaptive procedures in which models of... KW - estimation KW - heterogeneous KW - multiscale AU - Vemaganti, K AU - Oden, J UR - http://citeseer.ist.psu.edu/426058.html ER -

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