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## Schwarz-Christoffel Toolbox

version 1.1 (420 KB) by

Computes conformal maps to polygons, allowing easy solution of Laplace's equation.

4.23077
14 Ratings

Updated

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

Patrick Cross

### Patrick Cross (view profile)

Hello, has anyon had issue using this toolbox in 2015b?

Marina B.

Mohamed Nasser

Sam Kim

Boughrara kamel

### Boughrara kamel (view profile)

there are not many documentation

Samina Kosar

### Samina Kosar (view profile)

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i am interested to draw like this in SC-Toolbox, can anyone help me in this regards, the example explained about is for bounded polygon, could you please describe the same map for my figer. please dont take it as dashes, its line two lines having angle 90 degree.

Anton Semechko

### Anton Semechko (view profile)

This implementation saved me a bunch of time. Thanks a lot!

P.S. - Any one who needs documentation for this toolbox can find it on Toby's website (http://www.math.udel.edu/~driscoll/software/SC/guide.pdf)

Charles Nelatury

Ali A

Izaak Beekman

### Izaak Beekman (view profile)

Indispensable! Saved so much time using this rather than coding up everything in Fortran!

Boughrara kamel

### Boughrara kamel (view profile)

I have sent to you an example to the polygone where i have severe crowding. Could you give me answer and your opignon.

Boughrara kamel

### Boughrara kamel (view profile)

I have used the toolbox and it is excellent.
I have some problems with crowding for some polygon.
I will send you the polygon where i have the problem.

Al van Deursen

I used the software on many instances and found its results in excellent agreement with practical experiments. Wrote a few scientific papers using the results.
Documentation on Driscoll's personal webpage was more than sufficient for somebody with knowledge in basic calculus and Schwarz - Christoffel analysis.

pepe sanchez

lv dc

3x, i need test it first.

Francisco Tejo

Paolo Novati