Laplace Equation

Illustrations

Interior Dirichlet Problem in the Unit Disk

Boundary Condition
Result
Comments
Boundary conditions function must be periodical on the circle (why?!).
Pay attention: the more intricate is the function u on the border, the closer it is to zero near the centre of a circle (why?!).
Compare this and the next pictures. This object is less simmetrical...
...then this one. Why?!.

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© Vadim Zelenkov, 2001