Schwarz-Christoffel Toolbox

Version 3.1.3 (347 KB) by Toby Driscoll
Computes conformal maps to polygons, allowing easy solution of Laplace's equation.
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8.3K Downloads
Updated 17 Jul 2023
View License on GitHub
The Schwarz-Christoffel transformation is a recipe for a conformal map to a region bounded by a polygon. They can be computed to very high accuracy in little time. These maps can make certain Laplace boundary value problems trivial to solve on such domains.
Example:
p = polygon([0 i -1+i -1-i 1-i 1]); % L-shaped region
f = diskmap(p); % find map
plot(f) % visualize it
phi = lapsolve(p,[1 nan 4 3 nan 2]); % solve a BVP
[t,x,y] = triangulate(p);
trisurf(t,x,y,phi(x+i*y)); % see it

Cite As

Toby Driscoll (2026). Schwarz-Christoffel Toolbox (https://github.com/tobydriscoll/sc-toolbox/releases/tag/v3.1.3), GitHub. Retrieved .

MATLAB Release Compatibility
Created with R2007a
Compatible with any release
Platform Compatibility
Windows macOS Linux
Categories
Find more on Triangulation Representation in Help Center and MATLAB Answers
Tags Add Tags

+sctool

@annulusmap

@annulusmap/private

@composite

@crdiskmap

@crdiskmap/private

@crrectmap

@crrectmap/private

@diskmap

@diskmap/private

@dscpolygons

@extermap

@extermap/private

@hplmap

@hplmap/private

@moebius

@polygon

@rectmap

@rectmap/private

@riesurfmap

@riesurfmap/private

@scmap

@scmapdiff

@scmapinv

@stripmap

@stripmap/private

tests

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Version Published Release Notes
3.1.3

See release notes for this release on GitHub: https://github.com/tobydriscoll/sc-toolbox/releases/tag/v3.1.3
1.1.0.0

Now accessing the Github repository.

1.0.0.0

Previous resubmission was missing critical files.
To view or report issues in this GitHub add-on, visit the GitHub Repository.
To view or report issues in this GitHub add-on, visit the GitHub Repository.