Am 16.10.2015 um 20:17 schrieb Roy Stogner:
>
> On Fri, 16 Oct 2015, John Peterson wrote:
>
>>> On Oct 16, 2015, at 11:39 AM, Stephan Herb
>>> <inf74...@stud.uni-stuttgart.de> wrote:
>>
>>> 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.
>
> That's what it was designed for, IIRC, but I've likewise never used
> it.  At least we've got an example with it: transient_ex2.
>
> Paul Bauman recently added a NewmarkSolver option to the FEMSystem
> framework, too; there's an example of that in fem_system_ex3.
> ---
> Roy
 Hey, super! I think that's exactly what I need. Thanks for your quick
help. It's absolutely amazing what libMesh has on offer.

Bye,
Stephan

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