Abstract | ||
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We aim to tackle the challenge of generating unstructured high-order meshes of complex three-dimensional bodies, which remains a significant bottleneck in the wider adoption of high-order methods. In particular we show that by adopting a variational approach to the generation process, many of the current popular high-order generation methods can be encompassed under a single unifying framework. This allows us to compare the effectiveness of these methods and to assess the quality of the meshes they produce in a systematic fashion. We present a detailed overview of the theory and formulation of the variational framework, and we highlight how such formulation can be effectively exploited to yield a highly-efficient parallel implementation. The effectiveness of this approach is examined by considering a number of two- and three-dimensional examples, where we show how the proposed approach can be used for both mesh quality optimisation and untangling of invalid high-order meshes. |
Year | DOI | Venue |
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2018 | 10.1016/j.cad.2017.10.004 | Computer-Aided Design |
Keywords | Field | DocType |
High-order mesh generation,Variational mesh generation,Energy functional,Numerical optimisation | Bottleneck,Mathematical optimization,Polygon mesh,Curvilinear coordinates,Energy functional,Mathematics,Mesh generation | Journal |
Volume | ISSN | Citations |
103 | 0010-4485 | 5 |
PageRank | References | Authors |
0.64 | 11 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Michael Turner | 1 | 7 | 1.43 |
Joaquim Peiró | 2 | 39 | 7.28 |
David Moxey | 3 | 84 | 8.30 |