Uniform shift estimates for transmission problems and optimal rates of convergence for the parametric Finite Element Method

Hengguang Li, Victor Nistor, Yu Qiao

Let $Ω\subset \RR^d$, $d⩾1$, be a bounded domain with piecewise smooth boundary $\partial \Omega$ and let $U$ be an open subset of a Banach space $Y$. Motivated by questions i…