dolfin team mailing list archive
-
dolfin team
-
Mailing list archive
-
Message #06322
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 ---
Follow ups