Numerical computation of surface conformal mappings

Xianfeng David Gu, Wei Zeng, Feng Luo, Shing Tung Yau

Research output: Contribution to journalArticlepeer-review

28 Scopus citations

Abstract

We report recent progress in the computation of conformal mappings from surfaces with arbitrary topologies to canonical domains. Two major computational methodologies are emphasized; one is holomorphic differentials based on Riemann surface theory and the other is surface Ricci ow from geometric analysis. The applications of surface conformal mapping in the field of engineering are briey reviewed.

Original languageEnglish (US)
Pages (from-to)747-787
Number of pages41
JournalComputational Methods and Function Theory
Volume11
Issue number2
DOIs
StatePublished - Jan 2012

ASJC Scopus subject areas

  • Analysis
  • Computational Theory and Mathematics
  • Applied Mathematics

Keywords

  • Conformal geometry
  • Discrete surface
  • Holomorphic differential
  • Ricci flow

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