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.