期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 164, 期 1, 页码 22-47出版社
ACADEMIC PRESS INC
DOI: 10.1006/jcph.2000.6585
关键词
heterogeneous materials; hierarchical modeling; modeling error; local error; estimates
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 mollifications of pointwise stresses or displacements or, in general, local features of the fine-scale solution characterized by continuous linear functionals. These estimators are used to construct goal-oriented adaptive procedures in which models of the microstructure are adapted to deliver local features to a preset level of accuracy. Algorithms for implementing these procedures are discussed and preliminary numerical results are given. The analysis is restricted to linear, static, heterogeneous, elastic materials. (C) 2000 Academic Press.
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