Nomenclature

Nomenclature

Following table give the nomenclature of the variables used in the code.

Variable Description
$p2`de3 ZSV Number of nodes in the network

Useful Theorems

: Gauss Divergence Theorem

\[ \int \int \int_V \nabla \cdot \mathbf{F} dV = \int \int \mathbf{F} \cdot \mathbf{n} dS \]

: Stokes Theorem

\[ \int \int_S \nabla \times \mathbf{F} \cdot d\mathbf{S} = \int \int \mathbf{F} \cdot d\mathbf{r} \]

: Green’s Theorem

\[ \int \int_S \left( \frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y} \right) dA = \int \int \left( \frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y} \right) dA \]

: Divergence of a Curl

\[ \nabla \cdot \nabla \times \mathbf{F} = 0 \]

: Curl of a Gradient

\[ \nabla \times \nabla f = 0 \]