On 4/16/22 06:08, Matthew Rich wrote:
My question is in relation to step 23. I am dipping my toes in the water with
structural mechanics problems and I would like to avoid the quasistatic
simplification. Now the example add velocity to reduce the order of the time
derivative and proceeds with the theta method.
I wanted to know if that technique would be allowed if you replaced the 2nd
order time derivative in the wave equation. The tutorial says it would be
equivalent but I have not seen anything using the theta method that does not
have just a 1st order time derivative.
Is there a modification of the theta method that allows one to pretty much
follow the steps of the tutorial but not reduce the order of the equation by
variable substitution.
Matthew -- I have to admit that I don't follow what specifically you are
asking. Are you asking whether the theta method can be used for second-order
problems without the reformulation to a first-order system? Or whether it can
be used for an altogether different equation?
Best
W.
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Wolfgang Bangerth email: [email protected]
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