Solution of the Laplace equation by means of BEM

The Laplace equation

∂²u/∂x² + ∂²u/∂y² = 0

can be solved numerically with the boundary element method (BEM). Unlike the FEM, only the border of the investigated area must be discretized here.
The solutions u(x,y) are initially determined only for the border.
In addition, you can also calculate solutions within the area.

A model to be examined is determined by:
 


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