Interface approximation and error estimates via mapping techniques
Christos Varsakelis, Ralf Hiptmair · 2007
In this paper we study the 2-d interface elliptic problem. Mapping techniques are used to obtain a perturbed problem, that work for finite elements of arbitrary order. Error estimates are discussed in the energy norm for linear Lagrangian finite elements. Optimal rates of convergence, with respect to meshwidth h, are recovered.