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Inegral as boundary condition

Posted Oct 27, 2015, 8:12 a.m. EDT Version 5.0 2 Replies

Tomasz Strek
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How to solve Poisson's equation (or any) (u is dependent variable) when we have integral as boundary condition, for example int(u)=2 over boundary of domain (or part of boundary).

Equation:
Laplace(u)=f

and BC
int(u)=2.
2 Replies Last Post Oct 27, 2015, 8:56 a.m. EDT
Jeff Hiller COMSOL Employee

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Posted: 9 years ago Oct 27, 2015, 8:31 a.m. EDT
Hello Tomasz,
Such a problem can easily be ill-posed.
The attached file illustrates one way to set this up, but it also illustrates the risk: there is an infinite number of solutions (one for each alpha).
Best regards,
Jeff
Hello Tomasz, Such a problem can easily be ill-posed. The attached file illustrates one way to set this up, but it also illustrates the risk: there is an infinite number of solutions (one for each alpha). Best regards, Jeff

Attachments:

Tomasz Strek
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Posted: 9 years ago Oct 27, 2015, 8:56 a.m. EDT
Thank you!

Such equations and bc govern problem of torsion of multiply connected cross-sections.
Please see: attached file (page 8-9).

Tomasz
Thank you! Such equations and bc govern problem of torsion of multiply connected cross-sections. Please see: attached file (page 8-9). Tomasz

Attachments:

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