autopdex.models.poisson_fos

autopdex.models.poisson_fos(spacing, coefficient_fun=<function <lambda>>, source_fun=None)[source]

Poisson equation as set of first order models augmented by curl(v)=0

First field of solution space has to be scalar function; remaining fields form the gradient, i.e. theta = lambda x: ansatz(x)[0] grad_theta = lambda x: ansatz(x)[1:] n_dim = 2 or 3

Parameters:

  • spacing (float) – Spacing for the weights.

  • coefficient_fun (function) – Function to compute the coefficient of the laplacian, defaults to 1.

  • source_fun (function, optional) – Function to compute the source term, defaults to None.

Returns:

Function to compute the first order PDE system residuals.

Return type:

pde_fun (function)

Notes

  • This models works for DOFs as a jnp.ndarray.