> On Oct 16, 2015, at 11:39 AM, Stephan Herb <[email protected]> 
> wrote:
> 
> Hi,
> 
> I'm currently working on a linear elastic problem using the finite
> element method; in short, all I do is assemble the system matrix 'K'
> (consisting of the single element stiffness matrices for flat shell
> elements), the right hand side 'F' and solve the system 'K * u = F'. I'm
> using a LinearImplicitSolver in libmesh to do this (I oriented myself on
> example 4 of the equations systems).
> 
> Now I have to expand the model to be time dependent and structural
> dynamic which alters the equation to this: 'M * a'' + C * a' + K * a =
> F(t)' with M being the mass matrix, C the damping matrix, K still the
> stiffness matrix, and a'' = d^2a/dt^2, a'=da/dt, Time t.
> 
> Can you please give me a hint how I can solve this equation with libmesh
> (what solver I should use and if there is perhaps an
> example/documentation of how this solver works and what I need to provide).
> 
> If there are too less details in order to help me, I can explain
> further; but since the structure of the equation is the problem, I think
> it should suffice to comment on it.

I think you can use the Newmark System for this...but I'm not too familiar with 
that class.

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