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Here is a first example for the solution of the Poisson equation. | Here is a first example for the solution of the Poisson equation. | ||
The equation being solved is | The equation being solved is | ||
<math> -\mathrm{div}\ (\nabla u(x, y)) ) = | |||
<math> -\mathrm{div}\ ( \nabla u(x, y) ) ) = 1 \qquad \mbox{ in } \Omega</math> | |||
<math> u(x, y) = 0 \qquad \mbox{ on } \Gamma_D </math> | |||
<math> ( \nabla u(x, y) ) \cdot \mathbf{n} = 0 \qquad \mbox{ on } \Gamma_N</math> | |||
<div style="width: 100%;"> | <div style="width: 100%;"> | ||
<div style="float:left; width: 48%"> | <div style="float:left; width: 48%"> |
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