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  1. Nov 14, 2024
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    • Andrew Gray's avatar
      Added PINN for the quasi-1d compressible Euler equations. · 0249da16
      Andrew Gray authored
      The PINN only works for smooth solutions, but it seems to replicate Figure 6 from the paper "Continuous and discontinuous compressible fows in a converging-diverging channel solved by physics-informed neural networks without exogenous data".
      0249da16
  9. Aug 26, 2024
    • Andrew Gray's avatar
      Abstracted get_operator functions from the approximation space begin used. · 6386ce9a
      Andrew Gray authored
      Removed duplicated concrete implementation for PINN vs. non-PINN approximation spaces for the DG operators.
      
      Now there are only two operator construction functions: one function constructs DG operators that do not satisfy the SBP property and the second function constructs DG operators that satisfy an SBP property.
      The former function approximates the entries of the mass and stiffness matrices using the LGL quadrature, while the latter function uses a quadrature rule that is exact for (FF)' = {(fg)' : f, g are in F}.
      6386ce9a
    • Andrew Gray's avatar
      Added ApproximationSpace1D abstract base class. · 098d8812
      Andrew Gray authored
      ApproximationSpace1D specifies the finite dimensional vector space of functions used to approximate the solution on a given element.
      
      Included two concrete implementations of ApproximationSpace1D:
      1) PolynomialSpace1D: Space of Taylor polynomials ceneterd at the element's midpoint.
      2) PinnSpace1D: Same as PolynomialSpace1D but with the constant function (or the highest order polynomial term) replaced by a PINN.
      098d8812
  10. Aug 25, 2024
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