GradField.md

GradField

!syntax description /Kernels/GradField

Overview

!style halign=left The GradField object implements the following PDE term for coupled scalar-vector PDE systems:

\begin{equation}

• \nabla p, \end{equation}

where $p$ is a scalar field variable. Given vector test functions $\vec{\psi_i}$, the weak form, in inner-product notation, is given by:

\begin{equation} R_i(p) = (\nabla \cdot \vec{\psi_i}, p) \quad \forall \vec{\psi_i}. \end{equation}

Example Input File Syntax

!listing coupled_electrostatics.i block=Kernels/gradient

!syntax parameters /Kernels/GradField

!syntax inputs /Kernels/GradField

!syntax children /Kernels/GradField