Chapter 4
Summary
You should be now familiar with the following topics:
- Define an
Array
, a NekMatrix
and a PointsKey
in Nektar++.
- Use the
PointsManager
with a PointsKey
to get hold of quadrature zeros and
differentiation matrices.
- Differentiate a polynomial function in the standard region ξ ∈ [-1,1] using
Gauss-Gauss-Legendre and Gauss-Lobatto-Legendre quadrature.
- Extend the standard region to a standard quadrilateral region.
- Introduce a linear mapping from a general quadrilateral region to the standard
quadrilateral region. Evaluate the Jacobian of this mapping and evaluate
derivatives in a general straight sided quadrilateral region.