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A novel energy-based approach for merging finite elements

Yogev, Or and Shapiro, Andrew A. and Antonsson, Erik K. (2011) A novel energy-based approach for merging finite elements. International Journal for Numerical Methods in Engineering, 85 (2). pp. 187-205. ISSN 0029-5981.

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A novel approach for merging two intersecting finite elements is presented and demonstrated. The solution mimics concepts from biology and uses principles rooted in continuum mechanics. The problem of attaching (or merging) two coincident finite elements is common when using the plastering technique as part of the advancing front method. This problem is particularly challenging for 3-D meshes of non-convex shapes. Some automatic meshing methods require portions of the partially formed mesh to coincide and merge. This problem is generally solved with heuristic rules, which lack generality, and may have difficulties with unforeseen situations. The problem of merging two overlapping polyhedra may also appear in other applications such as computer graphics and CAD software. A new approach to address the problem of merging is presented here. This solution does not utilize heuristic rules, but rather uses an approach based on minimization of strain energy. A fully automatic merging routine has been created that can address, in an optimum way, any situation of two nearby or overlapping elements that are to be merged. This approach, with minor adjustments, is suitable for most types of 3-D elements.

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Additional Information:© 2010 John Wiley & Sons, Ltd. Received 9 June 2009; Revised 18 May 2010; Accepted 25 May 2010. Article first published online: 11 Jul. 2010 .
Subject Keywords:meshing; element merging; morphogen; strain energy; energy minimization; 3-D
Issue or Number:2
Record Number:CaltechAUTHORS:20110222-133743373
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Official Citation:Yogev, O., Shapiro, A. A. and Antonsson, E. K. (2011), A novel energy-based approach for merging finite elements. International Journal for Numerical Methods in Engineering, 85: 187–205. doi: 10.1002/nme.2963
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:22428
Deposited By: Jason Perez
Deposited On:24 Feb 2011 15:43
Last Modified:03 Oct 2019 02:37

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