On 10/19/2017 10:46 PM, Jie Cheng wrote:
but if you treat the nonlinearity implicitly, and time discretized model
will remain
nonlinear and needs to be solved with a Newton scheme or similar. The
appropriate solver for that system then remains FGMRES.
Thank you for your hints on my previous question. Now I have extended
step-57 to be time-dependent. I added a u,t term which is approximated using
backward Euler, and all the remaining terms are treated implicitly. Newton
iteration is still used at every time step. The system becomes
(A + M/dt)U = F - (\delta v, (u^{k+1} - u^k)/dt)_\Omega, BU = P, which is
similar to what we have in step-57 except the LHS(0, 0) and RHS(0) are changed.
Jie -- I think this would be a very interesting program for others as well.
Would you be interested in contributing it to the code gallery?
Best
Wolfgang
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Wolfgang Bangerth email: [email protected]
www: http://www.math.colostate.edu/~bangerth/
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