Time_NEllipsoid

Class which is used to implement N dimensional ellipsoids with Time components.

Time_NEllipsoid

Bases: timedomain

Class for solving spatio-temporal (1+N) problems on N dimensional ellipsoids

__init__(dim, center, semilengths, timeRange)

Constructor for class

Parameters:
  • dim (int) –

    Spatial dimension of domain.

  • center (list) –

    Center of ellipsoid in list for, e.g, [0, 0].

  • semilengths (list) –

    semi-axi lengths of ellipsoid, e.g, [1, 1].

  • timeRange (list) –

    Range of time to solve equation over, e.g, [0, 1].

isInside(timepoint)

Parameters:
  • timepoint (list) –

    Point in time+spatial dimensions of the ellipsoid
Returns:
  • bool –

    True if point is interior to the ellipsoid, False otherwise

onBoundary(timepoint)

Parameters:
  • timepoint (list) –

    Point in time+spatial dimensions of the ellipsoid
Returns:
  • bool –

    True if point is on the boundary of the ellipsoid, False otherwise

sampleBoundary(n_bc)

Samples boundary of ellipsoid

Parameters:
  • n_bc (int) –

    Number of points to sample in the boundary.
Returns:
  • tensor –

    Sampled time+boundary points.

onInitial(timepoint)

Parameters:
  • timepoint (list) –

    Point in time+spatial dimensions of domain.
Returns:
  • bool –

    True if point is an initial point, False otherwise.

sampleDomain(n_clp)

Samples interior of ellipsoid

Parameters:
  • n_clp (int) –

    Number of points to sample in the interior of the ellipsoid.
Returns:
  • tensor –

    Sampled time+interior points.