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Re: PDEs on quirky geometries

 

Marie Rognes wrote:
Harish Narayanan wrote:
Dear fellow PDE solvers,

The sort of question I am about the phrase might seem strange to some,
but perhaps it will seem natural to others.

Last evening, I was curious about meshing quirky geometries like the
Möbius strip in DOLFIN. This morning, I was curious about solving a PDE
on such a domain, and so I came up with the attached python script.

The script purportedly sets up a Poisson equation (with homogeneous
boundary conditions and a constant source) on a Möbius strip (with four
twists) and "solves it." I see a pretty looking plot with some
psychedelic colours, but can someone who knows more about this stuff be
kind enough to clarify what I've ended up doing?


I haven't got the foggiest,

Modifying this statement a bit:

In the assembling of the matrices etc, the third coordinate is probably just
ignored. (At least the FFC generated code probably just ignores the third
coordinate). Try removing the last coordinate from your  mesh --
you'll get a very similar picture.

--
Marie



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