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some confusion about the Galerkin principle

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Old   September 13, 2006, 09:02
Default some confusion about the Galerkin principle
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Let R represent a residiual of a partial differential equation in a two dimensional plat pipe, take steady convection-diffusino equation for example. we now apply the Galerkin which enforce the residual R to be orthogonal to each of the Basis function on in the y direction, integral( R*phi,y=0..1)dy now i want to apply the same procedure to the same problem in a pipi , i.e. two dimension axissysmetry system,

integral(R*phi,r=0..1) r dr i am very confused about whether the "r" should included in the above equation.
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