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Open boundary condition

Ciro Santilli (@cirosantilli, 37) ... Mathematics Area of mathematics Calculus Differential equation Boundary condition Neumann boundary condition
Updated 2025-07-16  0 By others on same topic  0 Discussions Create my own version
In the context of wave-like equations, an open-boundary condition is one that "lets the wave go through without reflection".
This condition is very useful when we want to simulate infinite domains with a numerical method. Ciro Santilli wants to do this all the time when trying to come up with demos for his physics writings.
Here are some resources that cover such boundary conditions:
  • www.asc.tuwien.ac.at/~arnold/pdf/graz/graz.pdf lots of slides
  • hplgit.github.io/wavebc/doc/pub/._wavebc_cyborg002.html mentions them and gives a 1D formula. It mentions that things get complicated in 2D and 3D TODO why.
    The other page: hplgit.github.io/wavebc/doc/pub/._wavebc_cyborg003.html shows solution demos.

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