Timeline for Solving Poisson equation with free boundaries and adaptively refined mesh
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Aug 27, 2012 at 20:46 | comment | added | Jed Brown | Take your solution vector $u$. The discrete sum is $\sum_i u_i$ which you have probably enforced to be zero in your discrete solution process. The integral is $\int_\Omega u$ The average value is $\bar u = (\int_\Omega u) / (\int_\Omega 1)$, so define $u_{\text{new}} = u - \bar u$. Note that $\int_\Omega u_{\text{new}} = 0$. | |
| Aug 27, 2012 at 18:00 | comment | added | Thomas W. | What do you mean by "integrating the discrete null space"? For this case, the discrete null space is spanned by an arbitrary constant vector of the corresponding size. How to fit it into any numerical integration scheme? | |
| Aug 27, 2012 at 14:58 | vote | accept | Thomas W. | ||
| Aug 27, 2012 at 14:42 | history | answered | Jed Brown | CC BY-SA 3.0 |