Geometries

Box(p1, p2)

Box in d-dimensional space defined by two points p1 and p2.

GeometricObject{DT, DG}

A geometric object of parametric dimension DT embedded in DG dimensional space. Here, a geometric object is understood as a connected set of points.

GeometricObjectI{DT,DG,NP}

A DT,DG dimensional geometric object with a parametrization which interpolates NP points. An important class of such objects are the geometries of isoparametric finite elements.

GeometricObjectP{DT,DG}

A DT,DG dimensional geometric object with a parametrization. For such an object, the geometry is the image of a simple DT-dimensional reference domain into DG dimensions.

Geometry(d)
Geometry(coordinates)

Geometry of a finite element mesh.

HLine(y)

A horizontal line in 2D which intercepts the y-axis at y.

Point(x1, ..., xD)

p1 point in `D`-dimensional space. Based on `point.jl` from Meshes.jl.

Segment(p1, p2)

A line segment which connects the points p1 and p2.

VLine(x)

A vertical line in 2D which intercepts the x-axis at x.

g::Geometry[d, idx]

Geometric object of dimension d at index idx in g.

length(g::Geometry, d::int)

Number of geometric objects of dimension d in g.

parameterof(o, p, atol=1e-12)

Returns the parameter of point p on the one-dimensional geometric object o. The functions returns NaN if p is further than atol away from o.

parametrization(o)

Returns the map F such that the geometric object o is the image of F.

squeeze!(g)

Release unused memory from g.