An angle-based optimization approach for 2D finite element mesh smoothing
A new mesh smoothing algorithm that can improve poor-quality meshes, such as meshes with badly shaped elements, is presented. Such meshes are problematic for finite element analysis since the presence of poorly formed mesh elements can reduce the accuracy of the analysis. The new algorithm introduce...
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| Veröffentlicht in: | Finite elements in analysis and design 2006-09, Vol.42 (13), p.1150-1164 |
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| container_title | Finite elements in analysis and design |
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| creator | Xu, Hongtao Newman, Timothy S. |
| description | A new mesh smoothing algorithm that can improve poor-quality meshes, such as meshes with badly shaped elements, is presented. Such meshes are problematic for finite element analysis since the presence of poorly formed mesh elements can reduce the accuracy of the analysis. The new algorithm introduced here improves mesh quality by adjusting the position of the mesh's internal nodes based on optimization of a torsion spring system. The Gauss–Newton method is used to optimize this spring system's objective function to obtain the optimal location of each internal node. Demonstration of the improvement offered by application of the algorithm to real meshes is also made. |
| doi_str_mv | 10.1016/j.finel.2006.01.016 |
| format | Article |
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| identifier | ISSN: 0168-874X |
| ispartof | Finite elements in analysis and design, 2006-09, Vol.42 (13), p.1150-1164 |
| issn | 0168-874X 1872-6925 |
| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Algorithms Badly shaped elements Computational techniques Design engineering Exact sciences and technology Finite element meshes Finite element method Finite-element and galerkin methods Fundamental areas of phenomenology (including applications) Mathematical analysis Mathematical methods in physics Mesh quality Optimization Physics Smoothing Springs Torsion |
| title | An angle-based optimization approach for 2D finite element mesh smoothing |
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