An algorithm for construction of iso-valued surfaces for finite elements

Finite element analysis of 3D phenomena gives as a result a set of function values specified on the nodes of the mesh. Various modes of graphical representation of such results are possible, including contour plots on cross-sections and surfaces of constant field values. In this paper, we propose an...

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Bibliographic Details
Published inEngineering with computers Vol. 14; no. 2; pp. 146 - 149
Main Author Breitkopf, P
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.01.1998
Springer Verlag
Subjects
Algorithms
Computer simulation
Engineering Sciences
Finite element analysis
Finite element method
Graphical representations
Image reconstruction
Industry standards
Interpolation
Mathematical analysis
Mathematical models
Mechanics
Physics
Structural mechanics
Studies
Surfaces
Three dimensional
Three dimensional computer graphics
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Summary:Finite element analysis of 3D phenomena gives as a result a set of function values specified on the nodes of the mesh. Various modes of graphical representation of such results are possible, including contour plots on cross-sections and surfaces of constant field values. In this paper, we propose an algorithm for the generation of such models. The continuous surfaces representing constant field values are obtained element-by-element by linear interpolation of nodal values. The normalized gradient of computed values is used for surface smoothing and shading. The method uses shaded polygon and shaded triangle strip primitives to meet with industry standards for graphical equipment.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0177-0667
1435-5663
DOI:10.1007/BF01213588