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.

Thanks.

Stephan
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