Bagnerini, PatriziaBuffa, AnnalisaVacca, Elisa2017-04-032017-04-032017-04-03201310.1016/j.apnum.2012.10.004https://infoscience.epfl.ch/handle/20.500.14299/136246In this paper we provide a piecewise linear Galerkin approximation of a second order transmission problem across a highly conductive prefractal layer of von Koch type. We firstly generate an appropriate mesh adapted to the geometric shape of the interface and then we construct a refinement algorithm consistent with a suitable estimate in appropriate weighted Sobolev spaces. We also obtain a quasi-optimal error estimate in the energy norm and finally we demonstrate the validity of our theory through numerical tests. © 2012 IMACS.text::journal::journal article::research article