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Visualization of Finite Elements and Tools for Numerical Analysis

  • Monika Geiben
  • Martin Rumpf
Part of the Focus on Computer Graphics book series (FOCUS COMPUTER)

Abstract

A visualization approach for finite elements including numerical algorithms based on an object oriented environment is presented. Starting from examples of numerical analysis of partial differential equations the requirements and specifications for a toolbox offering highly interactive rendering facilities for continuum mechanical as well as geometrical problems in 2D and 3D are explained. After a short description of object oriented programming our concept of interactive geometric modeling is introduced. Applications include the rendering of isoline, color scaled maps, vector and tensor fields on 2D domains, surfaces of intersections in 3D bodies (bars under stress or containers with fluid flow), particle traces, moved hyper surf aces, and the 2D levels of a function on a 3D finite element domain. Our concept has been implemented in the object oriented programming environment GRAPE at the graphics laboratory of the SFB 256. The appendix contains the definition of the specific classes and a description of all methods.

Keywords

Posteriori Error Particle Trace Message Passing Current Object Instance Variable 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. E. Baensch: Local Mesh Refinement in 2 or S Dimensions, Report 6, SFB 256, Bonn 1989Google Scholar
  2. P. Coad, E. Yourdon: Object-Oriented Analysis, Yourdon Press/Prentice-Hall 1989Google Scholar
  3. Kempel, Pfander: Praxis der objektorientierten Programmierung, Hanser, 1990Google Scholar
  4. J. Nakielski, M. Rumpf: Growth in Apical Meristems of Plants, Visualization Tools and Growth Tensor Methods, Report 11, SFB 256, Bonn 1991Google Scholar
  5. M. Rumpf, A. Schmidt et. al.: GRAPE, GRAphics Programming Environment, Report 8, SFB 256, Bonn 1990Google Scholar

Copyright information

© EUROGRAPHICS The European Association for Computer Graphics 1992

Authors and Affiliations

  • Monika Geiben
  • Martin Rumpf

There are no affiliations available

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