splinepy.helpme.mapper.Mapper.field_derivatives

Mapper.field_derivatives(queries, gradient=False, divergence=False, hessian=False, laplacian=False, basis_function_values=False, nthreads=None)

Function to retrieve more than one field derivative

More efficient implementation if more than one derivative is required. Can also return basis function values if both are required, e.g., for some assembly. See class documentation for more details.

Parameters:

• queries ((n, para_dim) array-like) – Evaluation points in the parametric domain

• gradient (bool) – Evaluate Gradient mapped into the physical domain

• divergence (bool) – Evaluate Divergenec of a vector field

• hessian (bool) – Evaluate Hessian mapped into the physical domain

• laplacian (bool) – Evaluate Laplacian mapped into the physical domain

• basis_function_values (bool) – Return basis function derivatives in dictionary

• nthreads (int) – Number of threads available for the computation

Returns:

results – Dictionary with required values stored with same name as function arguments (basis function derivatives as dictionary in dictionary)

Return type:

dict