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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 21
ADVANCES IN POST AND PREPROCESSING FOR FINITE ELEMENT TECHNOLOGY
Edited by: M. Papadrakakis and B.H.V. Topping
Paper II.5

Adaptable Gradient Systems for the Solution of the Heat Conduction Problem on Heterogeneous 2-D Domains

F.E. Jatuff

Nuclear Engineering Division, INVAP S.E., Rio Negro, Argentina

Full Bibliographic Reference for this paper
F.E. Jatuff, "Adaptable Gradient Systems for the Solution of the Heat Conduction Problem on Heterogeneous 2-D Domains", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Post and Preprocessing for Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 85-91, 1994. doi:10.4203/ccp.21.2.5
Abstract
The general frame of Finite Element Analysis is outlined from the viewpoint of Object-Oriented Analysis, enhancing the basic roles of the real problem definition, problem model, numerical solutions, and their relations to errors of idealization and errors of discretization. A total error estimator is formulated to account for uncertainties in the problem model definition, and a new p-method developed for the minimization of the total error estimator, based on the evolution of numerical dynamic gradient systems.

The whole frame was tested in the solution of the heat conduction problem on 2-D domains, showing the simplicity and efficiency of the new focus, and the high abstract level improvements obtained in terms of relievement of users from uncertainties.

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