Variational Methods

  • Vladimir Liseikin
Part of the Scientific Computation book series (SCIENTCOMP)


The calculus of variations provides an excellent opportunity to create new techniques for generation of structured grids by utilizing the idea of optimization of grid characteristics modeled through appropriate functionals. The grid characteristics include grid smoothness, departure from orthogonality or con-formality, cell skewness, and cell volume. The minimization of a combination of the functionals representing the desired grid features generates the equations for those coordinate transformations which yield a grid with optimally balanced grid quality measures. The relative contributions of the functionals are determined by the user-prescribed weights.


Coordinate Transformation Natural Boundary Condition Grid Property Grid Characteristic Cell Aspect Ratio 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Vladimir Liseikin
    • 1
  1. 1.Institute of Computational TechnologiesSiberian Branch of the Russian Academy of SciencesNovosibirsk 90Russia

Personalised recommendations