mikaem / shenfun-demos

https://mikaem.github.io/shenfun-demos/

BSD 2-Clause "Simplified" License

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shenfun-demos/content/poisson #2

Open utterances-bot opened 2 years ago

utterances-bot commented 2 years ago

Demo - 1D Poisson’s equation — Shenfun executable demos

https://mikaem.github.io/shenfun-demos/content/poisson.html

MPBora commented 2 years ago

Can it solve nonlinear Poisson equation such as

d^2 f(x)/dx^2 = F(fox)

Madhurjya

mikaem commented 2 years ago

Yes it can, but the nonlinear part needs to be put in the linear form and it needs Picard iterations, and probably underrelaxation, to converge. The nonlinear lid driven cavity is such a problem, only more complicated because of the coupling between velocity and pressure.