Solution of the Laplace equation by means of BEM

The Laplace equation

∂²u/∂x² + ∂²u/∂y² = 0

can be solved numerically by means of the boundary element method (BEM). Unlike in FEM, only the border of the investigated area must be discretized here.
The solutions u(x,y) and ∂u/∂n(x,y) are initially determined only for points on the border.
In addition, you can also calculate solutions u(x,y) for points within the area.

A model to be examined is determined by:
 


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