12.07.2015 Views

FEniCS Course - FEniCS Project

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Hello World!We will solve Poisson’s equation, the Hello World of scientificcomputing:−∆u = fu = u 0in Ωon ∂ΩPoisson’s equation arises in numerous contexts:• heat conduction, electrostatics, diffusion of substances,twisting of elastic rods, inviscid fluid flow, water waves,magnetostatics• as part of numerical splitting strategies of morecomplicated systems of PDEs, in particular theNavier–Stokes equations2 / 22

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