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Re: Re: [DOLFIN-dev] Heat: [...]

 

Good, the time differentiation of basis functions should cover a lot of
equations.

/Johan


> ok, it seems natural to implement .dt() similarly to .dx() and then
> adding Dt() as an alternative notation corresponding to D( ,i) for
> space derivatives.
>
> To begin with, only time derivatives of basis functions will be
> allowed (not of functions or other expressions).
>
> /Anders
>
> On Thu, Nov 03, 2005 at 09:32:12AM +0100, Johan Hoffman wrote:
>
>> Since we have derivatives with respect to both x and t, I think it may
>> be
>> a good idea to have the t explicit: Dt(u) or maybe u.dt() ?
>>
>> /Johan
>>
>>
>> > It looks good:
>> >
>> >     a = u * v * dx
>> >     L = (-dot(grad(u1), grad(v)) + f * v) * dx
>> >
>> > It's pretty close to what we want to have eventually:
>> >
>> >     a = Dt(u) * v * dx
>> >     L = (-dot(grad(u1), grad(v)) + f * v) * dx
>> >
>> > Is Dt() a good choice? I would have liked to overload ' so one could
>> > write
>> >
>> >     a = u' * v * dx
>> >
>> > but that does not seem to be possible.
>> >
>> > /Anders
>> >
>> > On Wed, Nov 02, 2005 at 06:02:31PM +0100, dolfin@xxxxxxxxxx wrote:
>> >> Commit from johanjan (2005-11-02 18:02 CET)
>> >> --------------------
>> >>
>> >> Heat:
>> >>
>> >> Add mass matrix (lumped for now). Use dG(0). Cleanups.
>> >>
>> >>   dolfin  src/modules/heat/HeatSolver.cpp       1.10
>> >>   dolfin  src/modules/heat/dolfin/Heat.form     1.2
>> >>   dolfin  src/modules/heat/dolfin/Heat.h        1.2
>> >>   dolfin  src/modules/heat/dolfin/HeatSolver.h  1.4
>> >>   dolfin  src/demo/solvers/heat/main.cpp        1.8
>> >>
>> >> _______________________________________________
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>> >>
>> >
>> >
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>> >
>>
>>
>>
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>
> --
> Anders Logg
> Research Assistant Professor
> Toyota Technological Institute at Chicago
> http://www.tti-c.org/logg/
>
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>


-- 
Johan Hoffman, PhD
Assistant Professor
School of Computer Science and Communication
Royal Institute of Technology KTH
SE-100 44 Stockholm
Sweden

Email: jhoffman@xxxxxxxxxxx
URL: www.nada.kth.se/~jhoffman




References