symfem.quadrature

Quadrature definitions.

Attributes

Scalar

Functions

equispaced(→ tuple[list[Scalar], list[Scalar]])	Get equispaced points and weights.
lobatto(→ tuple[list[Scalar], list[Scalar]])	Get Gauss-Lobatto-Legendre points and weights.
radau(→ tuple[list[Scalar], list[Scalar]])	Get Radau points and weights.
legendre(→ tuple[list[Scalar], list[Scalar]])	Get Gauss-Legendre points and weights.
get_quadrature(→ tuple[list[Scalar], list[Scalar]])	Get quadrature points and weights.

Module Contents

symfem.quadrature.Scalar

symfem.quadrature.equispaced(n: int) → tuple[list[Scalar], list[Scalar]]

Get equispaced points and weights.

Parameters:

n – Number of points

Returns:

Quadrature points and weights

symfem.quadrature.lobatto(n: int) → tuple[list[Scalar], list[Scalar]]

Get Gauss-Lobatto-Legendre points and weights.

Parameters:

n – Number of points

Returns:

Quadrature points and weights

symfem.quadrature.radau(n: int) → tuple[list[Scalar], list[Scalar]]

Get Radau points and weights.

Parameters:

n – Number of points

Returns:

Quadrature points and weights

symfem.quadrature.legendre(n: int) → tuple[list[Scalar], list[Scalar]]

Get Gauss-Legendre points and weights.

Parameters:

n – Number of points

Returns:

Quadrature points and weights

symfem.quadrature.get_quadrature(rule: str, n: int) → tuple[list[Scalar], list[Scalar]]

Get quadrature points and weights.

Parameters:

• rule – The quadrature rule. Supported values: equispaced, lobatto, radau, legendre, gll

• n – Number of points

Returns:

Quadrature points and weights