On a Unified Visualization Approach for Data from Advanced Numerical Methods

  • Martin Rumpf
  • Alfred Schmidt
  • Kunibert G. Siebert
Part of the Eurographics book series (EUROGRAPH)


Recent numerical methods to solve partial differential equations in scientific computing are based on a variety of advanced kinds of domain discretizations and appropriate finite dimensional function spaces for the solutions. The scope of grids under consideration includes structured and unstructured, adaptive and hierarchical, conforming and nonconforming meshes. The function spaces might be of Lagrangian or Hermitian type with higher polynomial degree and possibly discontinuous over element boundaries. Unfortunately, the rendering tools in scientific visualization are mostly restricted to special data structures which differ substantially from the data formats used in the numerical application. This forces users to map and interpolate their data, which is time consuming, storage extensive, and accompanied with interpolation errors.

We present an interface between numerical methods on various types of grids and general visualization routines which overcomes most of these disadvantages. It is based on a procedural approach managing a collection of arbitrary elements and a set of functions describing each element type.


Extreme Graph Prescribe Data Format Scientific Visualization High Polynomial Degree IEEE Visualization 
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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Copyright information

© Springer-Verlag/Wien 1995

Authors and Affiliations

  • Martin Rumpf
    • 1
  • Alfred Schmidt
    • 1
  • Kunibert G. Siebert
    • 1
  1. 1.Institut für Angewandte MathematikUniversität FreiburgFreiburg i. Br.Germany

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