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P.K. Jimack and R. Mahmood

Computational PDE Unit, School of Computer Studies, University of Leeds, Leeds, United Kingdom

doi:10.4203/ccp.68.8.2

P.K. Jimack, R. Mahmood, "A Multilevel Approach for Obtaining Locally Optimal Finite Element Meshes", in B.H.V. Topping, (Editor), "Developments in Engineering Computational Technology", Civil-Comp Press, Edinburgh, UK, pp 191-197, 2000. doi:10.4203/ccp.68.8.2

Abstract

In this paper we consider the adaptive finite element solution of a general class of variational problems using a combination of node insertion, node movement and edge swapping. The adaptive strategy that is proposed is based upon the construction of a hierarchy of locally optimal meshes starting with a coarse grid for which the location and connectivity of the nodes is optimized. This grid is then locally refined and the new mesh is optimized in the same manner. Results presented indicate that this approach is able to produce better meshes than those possible by more conventional adaptive strategies and in a relatively efficient manner.

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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: 68 DEVELOPMENTS IN ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: B.H.V. Topping Paper VIII.2 A Multilevel Approach for Obtaining Locally Optimal Finite Element Meshes P.K. Jimack and R. Mahmood Computational PDE Unit, School of Computer Studies, University of Leeds, Leeds, United Kingdom doi:10.4203/ccp.68.8.2 purchase the full-text of this paper Full Bibliographic Reference for this paper P.K. Jimack, R. Mahmood, "A Multilevel Approach for Obtaining Locally Optimal Finite Element Meshes", in B.H.V. Topping, (Editor), "Developments in Engineering Computational Technology", Civil-Comp Press, Edinburgh, UK, pp 191-197, 2000. doi:10.4203/ccp.68.8.2 Abstract In this paper we consider the adaptive finite element solution of a general class of variational problems using a combination of node insertion, node movement and edge swapping. The adaptive strategy that is proposed is based upon the construction of a hierarchy of locally optimal meshes starting with a coarse grid for which the location and connectivity of the nodes is optimized. This grid is then locally refined and the new mesh is optimized in the same manner. Results presented indicate that this approach is able to produce better meshes than those possible by more conventional adaptive strategies and in a relatively efficient manner. 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 £75 +P&P)
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