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Diffusion-transport-reaction equations

Part of the MS&A book series (MS&A, volume 2)

Abstract

In this chapter, we consider problems of the following form
$$ \left\{ \begin{gathered} - div(\mu \nabla u) + b \cdot \nabla u + \sigma u = f in\Omega , \hfill \\ u = 0 on\partial \Omega , \hfill \\ \end{gathered} \right. $$
(11.1)
where µ, σ, f and b are given functions (or constants). In the most general case, we will suppose that µ ∈ L(Ω) with µ(x) ≥ µ0 > 0, σ ∈ L2(Ω) with σ(x) ≥ 0 a.e. in Ω,b ∈ [L(Ω)]2 withdiv(b) ∈ L2(Ω), and f ∈ L2(Ω).

Keywords

Bilinear Form Galerkin Method Stabilization Method Upwind Scheme Incremental Ratio 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Italia, Milan 2009

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