Dear Prof. Bangerth,

Thank you very much for the explanation. Interpolation of the initial
condition works pretty well!

Thanks & Regards

Pawan

On Fri, Mar 13, 2020 at 3:55 PM Wolfgang Bangerth <[email protected]>
wrote:

> On 3/13/20 6:08 AM, Pawan Kumar wrote:
> >
> > To incorporate adaptive mesh refinement after each time steps in my
> ongoing work, I am trying to make follwoing small changes in step-26:
> >
> >
> > i. Initial condition
> >
> > ii. A rectangular domain
> >
> > iii. Homogeneous Neumann BC.
> >
> >
> > But I am getting some errors(negative values) in the obtained initial
> condition plot.
>
> That is to be expected. The *projection* of a non-negative function
> will, in general, not be a non-negative function. The reason is
> essentially the same as when you do a truncated Fourier series of a
> discontinuous function: You get Gibb's phenomenon.
>
> If these negative values bother you, try *interpolating* the initial
> conditions instead of projecting them.
>
> Best
>   W.
>
> --
> ------------------------------------------------------------------------
> Wolfgang Bangerth          email:                 [email protected]
>                             www: http://www.math.colostate.edu/~bangerth/
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