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Erschienen in:
1987 | OriginalPaper | Buchkapitel
Adaptive Grid Design for Finite Element Analysis In Optimization: Part 1, Review of Finite Element Error Analysis
verfasst von : Noboru Kikuchi
Erschienen in: Computer Aided Optimal Design: Structural and Mechanical Systems
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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Finite element gridding is regarded as an optimal design problem which yields the optimal grid adaptively by applying the optimality criteria method. Finite element approximation error analysis is critically reviewed to determine the effect of grid distortion which is a key factor of the irregular distribution of approximation error in flux and stress. Based on this study, appropriate error measures are defined for the optimal grid design problem as well as error indicators which estimate the total amount of approximation error.