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Pré-Publication, Document De Travail Année : 2019

Computing harmonic maps between Riemannian manifolds

Résumé

In [GLM18], we showed that the theory of harmonic maps between Riemannian manifolds may be discretized by introducing triangulations with vertex and edge weights on the domain manifold. In the present paper, we study convergence of the discrete theory to the smooth theory when taking finer and finer triangulations. We present suitable conditions on the weighted triangulations that ensure convergence of discrete harmonic maps to smooth harmonic maps. Our computer software Harmony implements these methods to computes equivariant harmonic maps in the hyperbolic plane.
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Dates et versions

hal-02320952 , version 1 (19-10-2019)

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  • HAL Id : hal-02320952 , version 1

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Jonah Gaster, Brice Loustau, Leonard Monsaingeon. Computing harmonic maps between Riemannian manifolds. 2019. ⟨hal-02320952⟩
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