differential_geometry.dependence.DenseDependenceObject.element_wise_laplacian#
- DenseDependenceObject.element_wise_laplacian(*, as_field: bool = False)#
Compute the component-wise Laplacian of the field.
For scalar fields, computes the scalar Laplacian. For tensor fields, applies the Laplace–Beltrami operator to each component.
- Parameters:
as_field (
bool, optional) – If True, return the raw symbolic expression. If False (default), wrap the result in a dependence object.- Returns:
Symbolic Laplacian expression or a new dependence object.
- Return type:
Expror_DepA