AcousticWaveProblem

Formulation of the acoustic wave problem.

class AcousticWaveProblem(c=2.0)

Bases: TimeDependentProblem, SpatialProblem

Implementation of the acoustic wave problem in the spatial interval \([0, 1]\) and temporal interval \([0, 1]\).

See also

Original reference: Wang, Sifan, Xinling Yu, and Paris Perdikaris. When and why PINNs fail to train: A neural tangent kernel perspective. Journal of Computational Physics 449 (2022): 110768. DOI: 10.1016.

Example:

>>> problem = AcousticWaveProblem(c=2.0)

Initialization of the AcousticWaveProblem class.

Parameters:

c (float | int) – The wave propagation speed. Default is 2.0.

solution(pts)

Implementation of the analytical solution of the acoustic wave problem.

Parameters:

pts (LabelTensor) – Points where the solution is evaluated.

Returns:

The analytical solution of the acoustic wave problem.

Return type:

LabelTensor