Finite elements for a prefractal transmission problem
Patrizia Bagnerini, Annalisa Buffa, Elisa Vacca · Comptes Rendus Mathématique · 2005
In this Note we deal with the finite element approximation of a transmission problem across a prefractal curve approximating the von Koch fractal curve. We construct a mesh adapted to the geometric shape of the interface and we refine it consistently with some estimates in suitable weighted Sobolev spaces. In these spaces we also obtain an approximation error estimate.