On 9/7/20 6:40 PM, Jimmy Ho wrote:

I have a general question regarding the application of periodic boundary conditions in Newton's method when solving nonlinear equations. Should the periodic constraint be applied to the incremental Newton update, or directly to the total solution vector?

Periodicity constraints are not too different from the way you would deal with Dirichlet boundary conditions. step-15 discusses this in great length, and the solution is to make sure that your first iteration satisfies the periodicity constraints and that all updates do as well -- which ensures that all iterates do so, too.

Best
 W.


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Wolfgang Bangerth          email:                 [email protected]
                           www: http://www.math.colostate.edu/~bangerth/

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