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Efficient visualization of high‐order finite elements
Author(s) -
Remacle JeanFrançois,
Chevaugeon Nicolas,
Marchandise Émilie,
Geuzaine Christophe
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1787
Subject(s) - visualization , computation , finite element method , computer science , focus (optics) , grid , polynomial , algorithm , computational science , surface (topology) , mathematical optimization , mathematics , geometry , data mining , mathematical analysis , engineering , structural engineering , physics , optics
A general method for the post‐processing treatment of high‐order finite element fields is presented. The method applies to general polynomial fields, including discontinuous finite element fields. The technique uses error estimation and h ‐refinement to provide an optimal visualization grid. Some filtering is added to the algorithm in order to focus the refinement on a visualization plane or on the computation of one single iso‐zero surface. 2D and 3D examples are provided that illustrate the power of the technique. In addition, schemes and algorithms that are discussed in the paper are readily available as part of an open source project that is developed by the authors, namely Gmsh. Copyright © 2006 John Wiley & Sons, Ltd.