You should be now familiar with the following topics:
Defining an Array
and a PointsKey
in Nektar++.
Use the PointsManager
with a PointsKey
to get hold of quadrature weights and
zeros.
Integrate 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 an integral in a general straight sided quadrilateral region.