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Efficient visualization of high‐order finite elements

Efficient visualization of high-order finite elements
Authors: Remacle, J.-F.; Chevaugeon, N.; Marchandise, E.; Geuzaine, Christophe;

Efficient visualization of high‐order finite elements

Abstract

AbstractA 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.

Countries
Belgium, United States
Keywords

Scientific visualization, Sciences informatiques, Visualization algorithms applied to problems in fluid mechanics, High order finite elements, high-order finite elements, [SPI.MAT] Engineering Sciences [physics]/Materials, [SPI.MECA] Engineering Sciences [physics]/Mechanics [physics.med-ph], Computer science, 004, Engineering, computing & technology, Ingénierie, informatique & technologie, Discontinuous Galerkin, scientific visualization, Finite element methods applied to problems in fluid mechanics, discontinuous Galerkin

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    40
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
40
Top 10%
Top 1%
Average
Green
bronze