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Conformally Mapped Laplacian

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Conformally Mapped Laplacian

by Greg von Winckel

 

20 Mar 2005 (Updated 22 Mar 2005)

Compute eigenfunctions of the laplacian on a conformally mapped square.

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Description

This script uses conformal mapping and collocation to compute the eigenfunctions of the 2D Laplace operator on a mapped square. The example shown in the picture is

sqdirichlet(16,sin((1+i+tanh(z)/3)^2/3))
MATLAB release MATLAB 7 (R14)
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differential equations Greg von Winckel 22 Oct 2008 07:43:46
laplacian Greg von Winckel 22 Oct 2008 07:43:46
eigenfunctions Greg von Winckel 22 Oct 2008 07:43:46
conformal Greg von Winckel 22 Oct 2008 07:43:46
map Greg von Winckel 22 Oct 2008 07:43:46
square Greg von Winckel 22 Oct 2008 07:43:46

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