Dear all, I need to define a piecewise-defined function in Firedrake but I don't know how to do it. I would appreciate if someone could give me guidance about that. Thank you in advance. Best, Amireh
Hi Amireh, Please can you be a bit more specific about your function? all the best ---cjc On 16 July 2018 at 21:24, Amireh Mousavi <amireh.mousavi@math.iut.ac.ir> wrote:
Dear all, I need to define a piecewise-defined function in Firedrake but I don't know how to do it. I would appreciate if someone could give me guidance about that. Thank you in advance. Best, Amireh
_______________________________________________ firedrake mailing list firedrake@imperial.ac.uk https://mailman.ic.ac.uk/mailman/listinfo/firedrake
-- Colin Cotter Department of Mathematics Imperial College London I don’t expect a reply to this email from you outside of your normal working hours. http://www.imperial.ac.uk/people/colin.cotter www.cambridge.org/9781107663916
Of course. Consider 2 dimensional domain and suppose I have four functions f1, f2, f3 and f4 defined on the mesh. How can I define a piecewise function f on the mesh on 4 pieces of a unit square [0, 1] × [0,1]? Something like: f = f1, 0 <= x[0] <=1/2 and 0 <= x[1] <=1/2 f = f2, 1/2 <= x[0] <=1 and 0 <= x[1] <=1/2 f = f3, 0 <= x[0] <=1/2 and 1/2 <= x[1] <=1 f = f4, 1/2 <= x[0] <=1 and 1/2 <= x[1] <=1 ----- Original Message ----- From: Colin Cotter (colin.cotter@imperial.ac.uk) Date: 25/04/97 17:36 To: firedrake (firedrake@imperial.ac.uk) Subject: Re: [firedrake] Piecewise-defined function Hi Amireh, Please can you be a bit more specific about your function? all the best ---cjc On 16 July 2018 at 21:24, Amireh Mousavi <amireh.mousavi@math.iut.ac.ir> wrote: Dear all, I need to define a piecewise-defined function in Firedrake but I don't know how to do it. I would appreciate if someone could give me guidance about that. Thank you in advance. Best, Amireh _______________________________________________ firedrake mailing list firedrake@imperial.ac.uk https://mailman.ic.ac.uk/mailman/listinfo/firedrake -- Colin Cotter Department of Mathematics Imperial College London I don't expect a reply to this email from you outside of your normal working hours. http://www.imperial.ac.uk/people/colin.cotter www.cambridge.org/9781107663916 _______________________________________________ firedrake mailing list firedrake@imperial.ac.uk https://mailman.ic.ac.uk/mailman/listinfo/firedrake
Just use ufl.conditional. See http://fenics.readthedocs.io/projects/ufl/en/latest/manual/form_language.htm... You can use x, y = SpatialCoordinate(mesh) to get the symbols for the coordinates. Regards, David From: <firedrake-bounces@imperial.ac.uk> on behalf of Amireh Mousavi <amireh.mousavi@math.iut.ac.ir> Reply-To: firedrake <firedrake@imperial.ac.uk> Date: Tuesday, 17 July 2018 at 12:03 To: firedrake <firedrake@imperial.ac.uk> Subject: Re: [firedrake] Piecewise-defined function Of course. Consider 2 dimensional domain and suppose I have four functions f1, f2, f3 and f4 defined on the mesh. How can I define a piecewise function f on the mesh on 4 pieces of a unit square [0, 1] × [0,1]? Something like: f = f1, 0 <= x[0] <=1/2 and 0 <= x[1] <=1/2 f = f2, 1/2 <= x[0] <=1 and 0 <= x[1] <=1/2 f = f3, 0 <= x[0] <=1/2 and 1/2 <= x[1] <=1 f = f4, 1/2 <= x[0] <=1 and 1/2 <= x[1] <=1 ----- Original Message ----- ________________________________ From: Colin Cotter (colin.cotter@imperial.ac.uk<mailto:colin.cotter@imperial.ac.uk>) Date: 25/04/97 17:36 To: firedrake (firedrake@imperial.ac.uk<mailto:firedrake@imperial.ac.uk>) Subject: Re: [firedrake] Piecewise-defined function Hi Amireh, Please can you be a bit more specific about your function? all the best ---cjc On 16 July 2018 at 21:24, Amireh Mousavi <amireh.mousavi@math.iut.ac.ir<mailto:amireh.mousavi@math.iut.ac.ir>> wrote: Dear all, I need to define a piecewise-defined function in Firedrake but I don't know how to do it. I would appreciate if someone could give me guidance about that. Thank you in advance. Best, Amireh _______________________________________________ firedrake mailing list firedrake@imperial.ac.uk<mailto:firedrake@imperial.ac.uk> https://mailman.ic.ac.uk/mailman/listinfo/firedrake -- Colin Cotter Department of Mathematics Imperial College London I don't expect a reply to this email from you outside of your normal working hours. http://www.imperial.ac.uk/people/colin.cotter www.cambridge.org/9781107663916<http://www.cambridge.org/9781107663916> ________________________________ _______________________________________________ firedrake mailing list firedrake@imperial.ac.uk<mailto:firedrake@imperial.ac.uk> https://mailman.ic.ac.uk/mailman/listinfo/firedrake
participants (3)
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Amireh Mousavi
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Colin Cotter
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Ham, David A