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P.K. Jimack, "An Optimal Finite Element Mesh for Linear Elastic Structural Analysis", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Post and Preprocessing for Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 157-167, 1994. doi:10.4203/ccp.21.4.1

Abstract

This paper investigates the adaptive solution of linear elastic structural analysis problems through re-positioning of the finite element nodal points (r-refinement) using an approach known as the Moving Finite Element method. After a brief introduction to the Moving Finite Element method it is proved that this technique can yield optimal finite element solutions on optimal meshes in the energy norm associated with this problem. Following this there is a discussion of the practical applications of this result in the development of adaptive software, where it is proposed that a combination of r-refinement followed by local h-refinement is likely to be most beneficial. A small number of illustrative examples are included.

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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 IV.1 An Optimal Finite Element Mesh for Linear Elastic Structural Analysis P.K. Jimack School of Computer Studies, University of Leeds, Leeds, United Kingdom doi:10.4203/ccp.21.4.1 purchase the full-text of this paper Full Bibliographic Reference for this paper P.K. Jimack, "An Optimal Finite Element Mesh for Linear Elastic Structural Analysis", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Post and Preprocessing for Finite Element Technology", Civil-Comp Press, Edinburgh, UK, pp 157-167, 1994. doi:10.4203/ccp.21.4.1 Abstract This paper investigates the adaptive solution of linear elastic structural analysis problems through re-positioning of the finite element nodal points (r-refinement) using an approach known as the Moving Finite Element method. After a brief introduction to the Moving Finite Element method it is proved that this technique can yield optimal finite element solutions on optimal meshes in the energy norm associated with this problem. Following this there is a discussion of the practical applications of this result in the development of adaptive software, where it is proposed that a combination of r-refinement followed by local h-refinement is likely to be most beneficial. A small number of illustrative examples are included. 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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