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Numerische Ermittlung quasikonformer Abbildungen mit finiten Elementen

Numerical determination of quasiconformal mappings by finite elements

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Summary

In this note we consider so called “p-analytic” mappings of simply or doubly connected domains on rectangles or circular rings. Real and imaginary parts of the mappings can be described by minimal-principles. By minimizing the corresponding functionals in a class of linear or bilinear finite elements we obtain an approximation of the mapping and also upper and lower bounds for the “p-module” of a domain with polygonal boundary. Error bounds are given for smooth and for piecewise constant functionsp. We present numerical experiments.

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  1. Mathematisches Institut der Universität Gießen, Arndtstraße 2, D-6300, Gießen, Bundesrepublik Deutschland

    Jutta Weisel

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  1. Jutta Weisel
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Weisel, J. Numerische Ermittlung quasikonformer Abbildungen mit finiten Elementen. Numer. Math. 35, 201–222 (1980). https://doi.org/10.1007/BF01396316

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