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Coupled Differential equations

 



Anders Logg wrote:


>On Tue, Feb 19, 2008 at 08:03:04AM -0500, Hatef Monajemi wrote:
>> 
>> 
>> On Tue, 2008-02-19 at 09:55 +0100, Anders Logg wrote:
>> > On Sun, Feb 17, 2008 at 12:13:50AM -0500, Hatef Monajemi wrote:
>> > > Dear Dolfin Users:
>> > > I am interested to find out the most efficient way to
>> > > implement solution of coupled differential equations in Dolfin:
>> > > 
>> > >    Class I: a partial differential equation (PDE) coupled with
>> > >        an ordinary differential equation. 
>> > >  
>> > >    Class II: A PDE coupled with one or more PDEs 
>> > >              
>> > > 
>> > > For instance, a wave equation when cast in the state space form, 
may 
>> > > belong to Class I. I understand that wave equation has already 
been 
>> > > solved using Dolfin. But I am unable to find any documentation in 
this 
>> > > regards.
>> > > Typically, what will be the "*.form" file associated with the wave
>> > > equation? 
>> > > Can anyone point me to the right place to find such docs?
>> > > Thanks in advance.
>> > > Hatef
>> > 
>> > For a demo solving a time-dependent problem, look at
>> > 
>> >   src/demo/pde/convection-diffusion/
>> 
>> Convection-Diffusion is a first Order pde with respect to time. what I
>> am interested in is equations such as Wave which are second order with
>> respect to time and when we cast them in the state space form become a
>> set of coupled Differential equations. I understand that Wave Equation
>> has been solved by you and reported as an Example. However, I did not
>> find any document regarding the *.form File and setting the Variational
>> form of this Kind of coupled equations.
>
>Please resend to dolfin-dev.
>
>-- 
>Anders
>
--- Begin Message ---
On Tue, Feb 19, 2008 at 08:03:04AM -0500, Hatef Monajemi wrote:
> 
> 
> On Tue, 2008-02-19 at 09:55 +0100, Anders Logg wrote:
> > On Sun, Feb 17, 2008 at 12:13:50AM -0500, Hatef Monajemi wrote:
> > > Dear Dolfin Users:
> > > I am interested to find out the most efficient way to
> > > implement solution of coupled differential equations in Dolfin:
> > > 
> > >    Class I: a partial differential equation (PDE) coupled with
> > >        an ordinary differential equation. 
> > >  
> > >    Class II: A PDE coupled with one or more PDEs 
> > >              
> > > 
> > > For instance, a wave equation when cast in the state space form, may 
> > > belong to Class I. I understand that wave equation has already been 
> > > solved using Dolfin. But I am unable to find any documentation in this 
> > > regards.
> > > Typically, what will be the "*.form" file associated with the wave
> > > equation? 
> > > Can anyone point me to the right place to find such docs?
> > > Thanks in advance.
> > > Hatef
> > 
> > For a demo solving a time-dependent problem, look at
> > 
> >   src/demo/pde/convection-diffusion/
> 
> Convection-Diffusion is a first Order pde with respect to time. what I
> am interested in is equations such as Wave which are second order with
> respect to time and when we cast them in the state space form become a
> set of coupled Differential equations. I understand that Wave Equation
> has been solved by you and reported as an Example. However, I did not
> find any document regarding the *.form File and setting the Variational
> form of this Kind of coupled equations.

Please resend to dolfin-dev.

-- 
Anders

--- End Message ---

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