Thank you Luca for the response. I see that manifolds will not work in the way 
I was expecting.

I want to map a fixed Cartesian mesh to some other domain, e.g., as in the work 
of Thomas Wick. So I dont want to modify the Cartesian mesh, as it is supposed 
to describe the reference domain.

I am constructing a MappingFEField to achieve this mapping by solving some 
elliptic equation.

To describe the displacement of the boundary of Cartesian mesh, I was hoping to 
attach a Manifold. But Manifold fixes vertex locations,

So I think I should just fill boundary values of the euler_vector of 
MappingFEField myself and proceed.

Thanks
praveen

> On 28 Sep 2024, at 12:38 PM, Luca Heltai <[email protected]> wrote:
> 
> I think you are essentially trying to achieve what step-53 does. It’s unclear 
> to me what you mean by “I want the grid to be Cartesian”. Topologically? Or 
> you literally want just one layer of elements to follow your manifold 
> description?
> 
> In this last case, you should not attach a manifold right away. 
> 
> - refine
> - move the top vertices to the right position 
> - attach a manifold 
> 
> Luca

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