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Weak Form Poisson Problem

  • 25-03-2014 3:48am
    #1
    Registered Users, Registered Users 2 Posts: 3,457 ✭✭✭


    Hi,

    I know the weak form of the Poisson problem

    [latex]\nabla^2 \phi = -f[/latex]

    looks like

    [latex]\int \nabla \phi \cdot \nabla v = \int f v[/latex]

    for all suitable [latex]v[/latex]. Is there a similarly well-known form for the slightly more complicated poisson problem?

    [latex]\nabla (\psi \nabla \phi ) = -f[/latex]

    I am writing some finite element code and variational/weak forms are very handy.

    Thanks in advance


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