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research article
Mesh generation and numerical analysis of a Galerkin method for highly conductive prefractal layers
In 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.
Type
research article
Authors
Publication date
2013
Published in
Volume
65
Start page
63
End page
78
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
April 3, 2017
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