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Message #01418
Re: DG lifting operator
On Thu, Jan 10, 2008 at 09:29:56AM -0500, Jake Ostien wrote:
> Hi,
>
> I'd like to write a form based on the lifting operator. If the lifting
> operator (R) is defined as
>
> -\int_Gamma avg(A):jump(B) dS = \int_Omega A:R(B) dV
>
> Is there any way I can define a form such as
>
> \int_Omega R(A):R(B) dV
>
> Where e.g. A and B are BasisFunctions?
>
> I can do this already for a known Function, say H, where I say
>
> V = TestFunction
> U = TrialFunction
>
> H = Function
>
> a = dot(V,U)*dx
> L = dot(avg(V),jump(H))*dS
>
> Then U is the lifted H, projected onto the basis of V.
>
> Should this same approach work for BasisFunctions?
>
> Jake
I don't understand what you want to do. The only way I see to compute
a projection (or lifting) is to define a bilinear form and linear form
as you do and solve a linear system.
--
Anders
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