Module pytop.filters

Filters.

Functions

def helmholtz_filter(u: fenics_adjoint.types.function.Function, R=0.025, solver_parameters: Optional[] = None) ‑> fenics_adjoint.types.function.Function

Apply the helmholtz filter to the fenics function. This filter directly solves the Helmholtz equation using linear solvers.

Args

u : dolfin_adjoint.Function

Target function.

R : float, optional

Filter radius. Defaults to 0.025.

solver_parameters : Optional[any], optional

Solver parameters. Defaults to None.

Returns

(dolfin_adjoint.Function): Filtered function

def smooth_heviside_filter(u: fenics_adjoint.types.function.Function, beta: float = 10.0, eta: float = 0.5) ‑> fenics_adjoint.types.function.Function

Apply the smoothed Heaviside filter to the fenics function.

Args

u : dolfin_adjoint.Function

Target function.

beta : float, optional

Smoothing parameter. Defaults to 10.0.

eta : float, optional

Threshold value. Defaults to 0.5.

Returns

(dolfin_adjoint.Function): Filtered function