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SIAM Journal on Scientific and Statistical Computing
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SIAM Journal on Scientific and Statistical Computing
Article . 1984 . Peer-reviewed
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https://dx.doi.org/10.1137/090...
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Quasiconformal Mappings and Grid Generation

Quasiconformal mappings and grid generation
descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1984 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Scientific and Statistical Computing, volume 5, pages 305-310 (issn: 0196-5204, eissn: 2168-3417, Copyright policy )
Authors: Mastin, C. W.; Thompson, J. F.;

doi: 10.1137/0905022

Quasiconformal Mappings and Grid Generation

Abstract

A finite difference scheme is developed for constructing quasiconformal mappings for arbitrary simply and doubly-connected domains onto a rectangle in the plane by using Beltrami systems. Error estimates are not given. Numerical examples show applications of the method: 1. Generation of grids for the reduction of elliptic equations (constant coefficients) to canonical form. 2. Construction of conformal mappings on two- dimensional surfaces.

Related Organizations
Keywords

Beltrami systems, General theory of numerical methods in complex analysis (potential theory, etc.), canonical form, grid generation, Numerical examples, Quasiconformal mappings in the complex plane, doubly-connected regions, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 22
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
22
Average
Top 10%
Average
bronze