step-4: Neumann boundary conditions

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Morris Jowas

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Sep 9, 2021, 1:37:56 PM9/9/21
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Hello all,

Has anyone implemented Neumann boundary conditions as a way to extend step-4?
Please let me know or point me to a good place to get started on this.

Many thanks,

Morris 

Bruno Turcksin

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Sep 9, 2021, 2:31:03 PM9/9/21
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Morris,

How to implement Neumann boundary conditions is explained in step-7.

Best,

Bruno
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Wolfgang Bangerth

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Oct 8, 2021, 7:11:15 PM10/8/21
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On 9/10/21 11:23 AM, Morris Jowas wrote:
> Thank you Bruno. I was able to adapt the Neumann BC implementation in step-7
> as an extension to step-4.
> As a follow up question: has anyone implemented */mixed boundary conditions/*
> as an extension to step-4? Since step-4 implements the steady state Laplace
> problem, such boundary conditions will be of the form: h*(u_ext - u).

Morris -- I don't think anyone has. Though the process of course works
similarly to Neumann boundary conditions; it just requires an additional term
in the matrix, nor just in the right hand side.

I think all of this would be a nice idea for a worked out section in the
"Possibilities for extensions" section of step-4. Would you be interested in
contributing such a section?

Best
W.


--
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Wolfgang Bangerth email: bang...@colostate.edu
www: http://www.math.colostate.edu/~bangerth/

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