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→2D Diffusion Advection Reaction example
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We want to solve the equation | We want to solve the equation | ||
<math> -\mathrm{div}\ ( \varepsilon\ \nabla u(x, y) - \nabla \varphi(x,y)\ u(x, y) ) ) + u(x, y) = 1 \qquad in \Omega</math> | <math> -\mathrm{div}\ ( \varepsilon\ \nabla u(x, y) - \nabla \varphi(x,y)\ u(x, y) ) ) + u(x, y) = 1 \qquad \mbox{ in } \Omega</math> | ||
<math> \varphi(x, y)\ =\ x + y </math> | <math> \varphi(x, y)\ =\ x + y </math> | ||