PDE 2D

The report as a ps-file (pdf). It's in Swedish, but there are some nice pictures.

Poission's equation

Solution of poisson's equation in a circle wath radius 1.
-(u_xx+u_yy) = f u = 0 on the edge f = 1 when |(x,y)-(.3,.7)|<.1, 0 otherwise The first mesh have approximately edge-length 0.25. The mesh have then been refined four times. Refinement's goal has been to allow only small angles between the normals of adjacent triangle planes. The used matlab-code as a zipfile (run pdeproj).

Hammock

Solution of poisson's equation in a rectangle.
-(u_xx+u_yy) = f u = 0 on the short edges du/dn = 0 on the long edges f = 3 (instead of 1, to make a better picture) inside an rectangle inside the problem-rectangle, 0 otherwise. This could perhaps model a hammock. The used matlab-code as a zipfile (run pdeproj).

Poisson's equation in an L

The used matlab-code as a zipfile (run pdeproj).

The wave-equation in an circle

The used matlab-code as a zipfile (run pdeproj).

Click the image, and it'll move again. (I forgot the loop-command)

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