Dune::PDELab::JacobianToCurl< Jacobian, dimR, dimD > Class Template Reference

extract the curl of a function from the jacobian of that function More...

Detailed Description

template<typename Jacobian, std::size_t dimR = Jacobian::rows, std::size_t dimD = Jacobian::cols>
class Dune::PDELab::JacobianToCurl< Jacobian, dimR, dimD >

extract the curl of a function from the jacobian of that function

In 3D the curl \(A=\nabla\times B\) is defined as

\begin{align*} a_x = \partial_yb_z-\partial_zb_y \\ a_y = \partial_zb_x-\partial_xb_z \\ a_z = \partial_xb_y-\partial_yb_x \end{align*}

In lower dimensions, some of the coordinates may be missing (because the quantity does not vary in that direction), and some of the quantity's components vanish and are thus missing as well.

---

The documentation for this class was generated from the following file:

• dune/pdelab/common/jacobiantocurl.hh