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tutorial.rst

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Tutorial

To make full use of IDRLnet. We strongly suggest following the following examples:

  1. Simple Poisson <Solving Simple Poisson Equation>. This example introduces the primary usage of IDRLnet. Including creating sampling domains, neural networks, partial differential equations, training, monitoring, and inference.
  2. Euler-Bernoulli beam <Euler–Bernoulli beam>. The example introduces how to use symbols to construct a PDE node efficiently.
  3. Burgers' Equation <Burgers' Equation>. The case presents how to include time in the sampling domains.
  4. Allen-Cahn Equation <Allen-Cahn Equation>. The example introduces the representation of periodic boundary conditions. Receiver acting as callbacks are also introduced, including implementing user-defined algorithms and post-processing during the training.
  5. Inverse wave equation <Inverse Wave Equation>. The example introduces how to discover unknown parameters in PDEs.
  6. Parameterized poisson equation <Parameterized Poisson>. The example introduces how to train a surrogate with parameters.
  7. Variational Minimization <Variational Minimization>. The example introduces how to solve variational minimization problems.
  8. Volterra integral differential equation <Volterra Integral Differential Equation>. The example introduces the way to solve IDEs.
  9. Navier-Stokes equation <Navier-Stokes equations>. The example introduces how to use the LBFGS optimizer.
  10. Deepritz method <Deepritz>. The example introduces the way to solve PDEs with the Deepritz method.

1_simple_poisson 2_euler_beam 3_burgers_equation 4_allen_cahn 5_inverse_wave_equation 6_parameterized_poisson 7_minimal_surface 8_volterra_ide 9_navier_stokes_equation 10_deepritz