This example demonstrates the effect of the spatial stabilization algorithm in 2D. A convection and diffusion of heat equation is analyzed on a 1 by 1 square. The two-dimensional mesh consists of distorted linear quadrilaterals

The convection velocity and the conductivity .
The boundary conditions for temperature are chosen such that the exact
solution for a boundary layer in -direction holds:

where we choose and . This is a severe test for the spatial stabilization algorithm. Many algorithms exist which solve this example exactly when using a one-dimensional domain, say with -axis only, but few exist which do not show wiggles for irregular 2D grids. The