Poisson Equation

Module for defining the Poisson equation.

class PoissonEquation(forcing_term)

Bases: Equation

Implementation of the Poisson equation, defined as follows:

\[\Delta u - f = 0\]

Here, \(f\) is the forcing term.

Example:

>>> from pina.equation import PoissonEquation
>>> eq = PoissonEquation(forcing_term=lambda x: x**2)
>>> # Use within a Condition:
>>> # condition = Condition(domain=domain, equation=eq)

Initialization of the PoissonEquation class.

Parameters:

forcing_term (Callable) – The forcing field function, taking as input the points on which evaluation is required.