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mfem.gridfunction.getHessian
Computes the Hessian matrix of a grid function at a point within an element.
Syntax
mfem.gridfunction.getHessian(gf, elemIdx, ip)
Description
Computes the Hessian matrix of a grid function at a point within an element. The Hessian is the matrix of second partial derivatives: ``` H = | ∂²u/∂x² ∂²u/∂x∂y ∂²u/∂x∂z | | ∂²u/∂y∂x ∂²u/∂y² ∂²u/∂y∂z | | ∂²u/∂z∂x ∂²u/∂z∂y ∂²u/∂z² | ```
Parameters
| Name | Description |
|---|---|
| gf | - The grid function to evaluate |
| elemIdx | - Element index (0-based) |
| ip | - Integration point in reference element coordinates |
Returns
HessianResult