Correct me if I am wrong but wouldn't the Newmark system assume that damping 
force is of the form : [F]=Factor*d[u]/dt, I would like to have [F] that is not 
of this form but a more generalized expression that I can create.

Regards
Amal
________________________________________
From: John Peterson [[email protected]]
Sent: Friday, June 20, 2014 10:09 AM
To: Sahai, Amal (ARC-TN)[Universities Space Research Association (USRA)]
Cc: [email protected]
Subject: Re: [Libmesh-users] 2nd Order PDE in time

On Fri, Jun 20, 2014 at 10:53 AM, Sahai, Amal (ARC-TN)[Universities
Space Research Association (USRA)] <[email protected]> wrote:
> Hi what would be the best way of solving a second order linear partial 
> differential equation in time of the type in LibMesh:
>
>     [M] d^2u/dt^2 = [K] u + [F]
>
> I could obviously break it down into sets of equations - one solving for the 
> first derivative and other for u itself but I'd like to know if there is an 
> easier way to implement this. Also, how does one account for [M]?

I think this is what the NewmarkSystem is good for?  It allows you to
specify mass, damping, and stiffness matrices... see transient_ex2 for
an example.

--
John

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