pinn_inverse.rst

Demos of Inverse Problems

Here are some demos of solving inverse problems of PDEs.

ODEs

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   pinn_inverse/lorenz.inverse
   pinn_inverse/lorenz.inverse.forced

Time-independent PDEs

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   :maxdepth: 1

   pinn_inverse/elliptic.inverse.field

• Inverse problem for the Poisson equation with unknown forcing field with training points resampling
• Inverse problem for Brinkman-Forchheimer model
• Inverse problem for the diffusion-reaction system with a space-dependent reaction rate

Time-dependent PDEs

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   :maxdepth: 1

   pinn_inverse/diffusion.1d.inverse
   pinn_inverse/reaction.inverse

• Inverse problem for the Navier-Stokes equation of incompressible flow around cylinder

fractional PDEs

• Inverse problem for the fractional Poisson equation in 1D
• Inverse problem for the fractional Poisson equation in 2D