Crate fenris_quadrature
source · [−]Expand description
Quadrature rules for finite element reference domains.
The main purpose of this crate is to support the fenris FEM library. However, it has been
designed so that the quadrature rules available here may be used completely independently
of fenris.
Reference domains
Segment (1D)
The reference domain in 1D is the interval [-1, 1].
Triangle (2D)
The reference triangle is comprised of the vertices (-1, -1), (1, -1) and (-1, 1).
Quadrilateral (2D)
The reference quadrilateral is the square [-1, 1]^2, comprised of the vertices
(-1, -1), (1, -1), (1, 1) and (-1, 1).
Hexahedron (3D)
The reference hexahedron is the box [-1, 1]^3.
Tetrahedron (3D)
The reference tetrahedron is comprised of the vertices (-1, -1, -1), (1, -1, -1),
(-1, 1, -1) and (-1, -1, 1).
Pyramid (3D)
The reference pyramid is comprised of the vertices (-1, -1, -1), (1, -1, -1), (1, 1, -1),
(-1, 1, -1) and (0, 0, 1).
Prism (3D)
The reference prism is comprised of the vertices (-1, -1, -1), (1, -1, -1), (-1, 1, -1),
(-1, -1, 1), (1, -1, 1) and (-1, 1, 1).
TODO: Document how quadratures work, e.g. the concept of a reference domain and that quadrature rules are specific to a reference domain
Modules
Quadrature rules for various 2D and 3D domains generated by polyquad.
2D and 3D quadrature rules formed by tensor product formulations.
Quadrature rules for the one-dimensional domain [-1, 1].
Enums
Library-wide error type.
Functions
Integrates the given function with the given quadrature rule.