Physics Informed Neural Networks#

Data-driven vs PINNs (1D damped harmonic oscillator)#

Collocation strategies#

Adaptive weight strategies#

Weak-boundary enforcement (1D beam)#

Strong-boundary enforcement and enery minimization (2D linear elastic beam)#

Continuous time model: Burger’s equation#

Discrete time model: Burger’s equation#

Error and convergence analysis: Oscillator#

Inverse parameter estimation: 1D heat#

Inverse parameter estimation: Burgers#