splinepy.helpme.integrate.Transformation

class splinepy.helpme.integrate.Transformation(spline, solution_field=None, orders=None)

Bases: object

Helper class to be used for the numerical integration of field variables on a single-patch geometry.

It computes the elements within the patch and for each one of them the quadrature points and the Jacobian at those points.

Parameters:

• spline (spline) – The geometry

• solution_field (None or spline) – Solution field as spline function. If not given, supports and quadrature will be calculated for geometry

• orders (None or list<int>) – Quadrature orders. If not given, default quadrature orders will be used

Methods

Transformation.check_element_id_validity(...)	Check if given element ID is valid
Transformation.compute_all_element_jacobian_determinants([...])	Compute Jacobians' determinants of each element at each quadrature point
Transformation.compute_all_element_jacobian_inverses([...])	Compute Jacobians' inverses of each element at each quadrature point
Transformation.compute_all_element_jacobians([...])	Compute Jacobians of each element at each quadrature point
Transformation.compute_all_element_measures([...])	Computes the measures of all elements in parametric space.
Transformation.compute_all_element_quad_points([...])	Compute the quadrature points of all elements
Transformation.compute_all_supports([recompute])	Compute the support for all quadrature points
Transformation.get_element_grid_id(element_id)	Compute element ID in grid.
Transformation.get_element_quad_points(...)	Compute the quadrature points for a given element.
Transformation.get_element_support(element_id)	Get support for quadrature points in element
Transformation.jacobian(element_id)	Return Jacobian of single element at quadrature points
Transformation.jacobian_determinant(element_id)	Return determinant of Jacobian of single element, evaluated at quadrature points
Transformation.jacobian_inverse(element_id)	Return inverse of Jacobian of single element, evaluated at quadrature points

Attributes

Transformation.all_jacobian_determinants	Determinants of Jacobians of all elements.
Transformation.all_jacobian_inverses	Inverses of Jacobians of all elements.
Transformation.all_jacobians	Jacobians of all elements.
Transformation.all_quad_points	Quadrature points of all elements.
Transformation.all_supports	Supports of all quadrature points.
Transformation.quadrature_weights