Hi,
I would appreciate some help in understanding if the existing System
classes can handle PDEs (linear/nonlinear) with second order time
derivative. I am going through the FEMSystem documentation and it seems
like these are suitable for a system of the form
du/dt = f(u).
Ofcourse, I can change my second order system from
d^2u/dt^2 = f(u)
to
d/dt {u; \tilde{u}} = [0 I; 0 0] {u; \tilde{u}} + {0; f(u)}
but that changes the dimension of my sparse system by a factor of two,
and I am not sure if the FEMSystem takes into account the modification in
the sparsity pattern.
Additionally, within the existing framework, how does one account for
*nonlinear* systems that have a mass matrix
[M] du/dt = f(u)
Extending this question forward, how about PDEs with second order time
derivative?
I would appreciate your comments.
Thanks,
Manav
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