This API reference is not for the latest stable Salvus version.

`salvus.fem.derivatives`

Functions to compute derivatives of nodal fields.

Functions

`compute_gradient()`

def compute_gradient(
    nodes: types,
    nodal_fields: Dict[str, numpy.ndarray[Any, numpy.dtype[+_ScalarType_co]]],
) -> Dict[str, numpy.ndarray[Any, numpy.dtype[+_ScalarType_co]]]: ...

Compute the gradient of a field defined at the GLL points.

This function computes the derivatives of the N + 1 Lagrange polynomials (N being the polynomial order) to compute the derivative of a field that is defined at the GLL points.

Parameters

nodes types — Element nodes at which the gradient should be computed.
nodal_fields Dict[str, numpy.ndarray[Any, numpy.dtype[+_ScalarType_co]]] — The fields defined at the element nodes for which the gradient should be computed.

Returns Dict[str, numpy.ndarray[Any, numpy.dtype[+_ScalarType_co]]] — Dict containing the the derivatives of the fields with respect to each dimension. Each derivative has the same shape as the input field.