On the stability of the boundary trace of the polynomial L^2-projection on triangles and tetrahedra (extended version)

Jens Markus Melenk, Tobias Wurzer

For the reference triangle or tetrahedron $T$, we study the stability properties of the $L^2(T)$-projection ${\Pi }_N$ onto the space of polynomials of degree $N$. We show $\|Π_N u\|_{L…