cashocs.Functional#

class cashocs.Functional[source]#

Bases: ABC

Base class for all cost functionals.

Methods Summary

`coefficients`()	Computes the ufl coefficients which are used in the functional.
`derivative`(argument, direction)	Computes the derivative of the functional w.r.t.
`evaluate`()	Evaluates the functional.
`scale`(scaling_factor)	Scales the functional by a scalar.
`update`()	Updates the functional after solving the state equation.

Methods Documentation

abstractmethod coefficients() → tuple[fenics.Function][source]#

Computes the ufl coefficients which are used in the functional.

abstractmethod derivative(argument: ufl_legacy.core.expr.Expr, direction: ufl_legacy.core.expr.Expr) → ufl_legacy.Form[source]#

Computes the derivative of the functional w.r.t. argument towards direction.

Parameters:

argument (ufl_legacy.core.expr.Expr) – The argument, w.r.t. which the functional is differentiated
direction (ufl_legacy.core.expr.Expr) – The direction into which the derivative is computed

Returns:

A form of the resulting derivative

Return type:

ufl_legacy.Form

abstractmethod evaluate() → float[source]#

Evaluates the functional.

abstractmethod scale(scaling_factor: float | int) → None[source]#

Scales the functional by a scalar.

Parameters:: scaling_factor (float | int) – The scaling factor used to scale the functional
Return type:: None

abstractmethod update() → None[source]#

Updates the functional after solving the state equation.