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<math> -\mathrm{div}\ ( \nabla u(x, y) ) ) = 1 \qquad \mbox{ in } \Omega</math> | <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> 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> | <math> ( \nabla u(x, y) ) \cdot \mathbf{n} = 0 \qquad \mbox{ on } \Gamma_N</math> |