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## Re: [ff3d-users] Non conforming Mesh & Projection

**From**: |
Stephane Del Pino |

**Subject**: |
Re: [ff3d-users] Non conforming Mesh & Projection |

**Date**: |
Wed, 14 Feb 2007 21:09:58 +0100 |

**User-agent**: |
KMail/1.9.5 |

Le mercredi 14 février 2007 11:28, Cécile Giorla a écrit :
>* Hello,*
Hello.
>* I have two questions :*
>* 1) How does ff3D reacts when we ask him to solve problem on a non*
>* conforming mesh?*
It should not work: nothing will impose continuity...
But, you can do it using a domain decomposition algorithm (you have to write
it using the language).
>* 2) Is there (or will there be) a function which projects a value*
>* calculated on a mesh, on another mesh?*
Absolutely: you can use L2 projection
------8<--------
solve (u) in m
{
pde(u)
u = f;
}
------8<--------
or the weak form:
------8<--------
solve (u) in m
{
test(v)
int(u*v) = int(f*v);
}
------8<--------
You can also use H1 projection using the weak formulation:
------8<--------
solve(u) in m
{
test(v)
int(u*v)+int(grad(u)*grad(v)) = int(f*v)+int(grad(f)*grad(v));
u = f on m;
}
------8<--------
Here f is a generic function: it can be analytic or a fem function leaving on
any mesh ...
Best regards,
Stéphane.