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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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	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 doi:10.4203/ccp.21.2.5 purchase the full-text of this paper 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £60 +P&P)
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