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. To cite this article: R Bagnerini et al., C. R. Acad. Sci. Paris, Ser. I 342 (2006). (c) 2005 Academie des sciences.
Finite elements for a prefractal transmission problem
BAGNERINI, PATRIZIA;
2006-01-01
Abstract
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. To cite this article: R Bagnerini et al., C. R. Acad. Sci. Paris, Ser. I 342 (2006). (c) 2005 Academie des sciences.
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