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Re: [Question #103034]: Different norms of a functional

 

Question #103034 on DOLFIN changed:
https://answers.launchpad.net/dolfin/+question/103034

    Status: Open => Answered

Anders Logg proposed the following answer:
On Wed, Mar 03, 2010 at 02:36:59AM -0000, Murtazo Nazarov wrote:
> New question #103034 on DOLFIN:
> https://answers.launchpad.net/dolfin/+question/103034
>
> Hi,
>
> I am wondering how to compute an L1-norm, and L_inf norm of a functional on the cell. For instance how to compute
>
> 1. ||\div(Pu)||_{L_\infty} ?

Try projecting div(Pu) onto piecewise constants and then pick the
largest absolute value in the vector.

> 2. ||\div(Pu)||_{L_1} ?

Try

M = abs(div(Pu))*dx

--
Anders


> where u is velocity (vector) and P is pressure (scalar). L2 norm is obvious to do.
>
> I use C++ interface
>

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