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G.M. Seed

Department of Mechanical and Chemical Engineering, Heriot-Watt University, Edinburgh, United Kingdom

Abstract

This paper examines the application of the conjugate gradient optimisation method to mesh optimisation and refinement. A mesh of triangles is optimised with respect to appropriate quality factors incorporated into the objective function. Mesh optimisation is also applied to Delaunay tessellations with two different measures of quality factor examined. Various quality factors are proposed for point and curve refinement, neighbour smoothing and restricting the maximum size of the triangular elements. The paper concludes by examining the insertion of a point into a triangle so as to maximise the qualities of the resulting sub-triangles.

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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: 65 FINITE ELEMENTS: TECHNIQUES AND DEVELOPMENTS Edited by: B.H.V. Topping Paper I.2 Mesh Optimisation G.M. Seed Department of Mechanical and Chemical Engineering, Heriot-Watt University, Edinburgh, United Kingdom doi:10.4203/ccp.65.1.2 purchase the full-text of this paper Full Bibliographic Reference for this paper G.M. Seed, "Mesh Optimisation", in B.H.V. Topping, (Editor), "Finite Elements: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 13-23, 2000. doi:10.4203/ccp.65.1.2 Abstract This paper examines the application of the conjugate gradient optimisation method to mesh optimisation and refinement. A mesh of triangles is optimised with respect to appropriate quality factors incorporated into the objective function. Mesh optimisation is also applied to Delaunay tessellations with two different measures of quality factor examined. Various quality factors are proposed for point and curve refinement, neighbour smoothing and restricting the maximum size of the triangular elements. The paper concludes by examining the insertion of a point into a triangle so as to maximise the qualities of the resulting sub-triangles. 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 £80 +P&P)
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