Interfaces for User-Provided Data¶

class hedge.data.IGivenFunction¶

Abstract interface for obtaining interpolants of I{time-independent} functions.

boundary_interpolant(discr, tag)¶: Return the boundary interpolant of this function with respect to the hedge.discretization.Discretization discr at the boundary tagged with tag.

volume_interpolant(discr)¶: Return the volume interpolant of this function with respect to the hedge.discretization.Discretization discr.

class hedge.data.ITimeDependentGivenFunction¶

Abstract interface for obtaining interpolants of time-dependent functions.

boundary_interpolant(t, discr, tag)¶: Return the boundary interpolant of this function with respect to the hedge.discretization.Discretization discr at time t at the boundary tagged with tag.

volume_interpolant(t, discr)¶: Return the volume interpolant of this function with respect to the hedge.discretization.Discretization discr at time {t}.

class hedge.data.GivenFunction(f)¶

Bases: hedge.data.IGivenFunction

Adapter for a function $f(x)$ into an IGivenFunction.

__init__(f)¶

Initialize the caches and store the function $f$ .

Parameter:	f – a function mapping space to a scalar value. If f.target_dimensions exists and equals $n$ , then f maps into an $n$ -dimensional vector space instead.

class hedge.data.ConstantGivenFunction(value=0)¶

Bases: hedge.data.GivenFunction

A GivenFunction that has a constant value on all space.

class hedge.data.GivenVolumeInterpolant(discr, interpolant)¶

Bases: hedge.data.IGivenFunction

A constant-valued GivenFunction.

class hedge.data.TimeConstantGivenFunction(gf)¶

Bases: hedge.data.ITimeDependentGivenFunction

Adapts a GivenFunction to have a (formal) time-dependency, being constant over all time.

hedge.data.make_tdep_constant(x)¶

class hedge.data.TimeHarmonicGivenFunction(gf, omega, phase=0)¶

Bases: hedge.data.ITimeDependentGivenFunction

Adapts an IGivenFunction to have a harmonic time-dependency.

class hedge.data.TimeIntervalGivenFunction(gf, on_time=0, off_time=1)¶

Bases: hedge.data.ITimeDependentGivenFunction

Adapts an IGivenFunction to depend on time by “turning it on” for the time interval $[\text{on\_time}, \text{off\_time})$ , and having it be zero the rest of the time.