Rectangular Meshes in \(R^d\)


\[\begin{aligned} (a)&u &= \arctan x & dv &= 1 \, dx \\ du &= \frac{1}{1 + x^2} dx & v &= x.\end{aligned}\]

Implementation in WG

To make the mesh implementation as simple as possible, it helps to separate the functions of the mesh itself from those that depend on the mesh. Especially needing separation from the mesh functions is the task of enumerating of basis elements on pieces of the mesh. For this reason a basis module (WGBasis: was created, which tracks basis elements for any abstract mesh. This leaves concrete mesh implementations only needing to implement a small set of geometry related functions to satisfy the needs of the other modules of the WG method.



