Hello all.(adsbygoogle = window.adsbygoogle || []).push({});

I am working on a problem and I am getting a bit confused.

Suppose we have a poisson equation that we wish to solve subject to certain boundary conditions. Let's say we are in 1D (we can later extrapolate to more dimensions).

Is it possible to impose Dirichlet boundary conditions on the boundary, but also specify a known derivative of the function in a certain region?

In a physical context, I want to solve poisson's eq but want to specifiy the potential at the boundary and set the field to zero in a certain region. Will this overconstrain the system?

Thanks and please let me know if this is unclear.

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Neumann and Dirichlet BCs in discrete Poisson EQ

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

Loading...

Similar Threads - Neumann Dirichlet discrete | Date |
---|---|

I Poisson Equation Neumann boundaries singularity | Jul 25, 2016 |

A Laplace equation on a trapezoid | Nov 13, 2015 |

Q about Poisson eqn w/ Neumann boundary conditions as in Jackson | Sep 26, 2015 |

Neumann vs Dirichlet | Jul 14, 2009 |

Non-hom heat eq. w/ Dirichlet + Neumann BC | Jan 10, 2007 |

**Physics Forums - The Fusion of Science and Community**