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  4. Mesh generation and numerical analysis of a Galerkin method for highly conductive prefractal layers
 
research article

Mesh generation and numerical analysis of a Galerkin method for highly conductive prefractal layers

Bagnerini, Patrizia
•
Buffa, Annalisa  
•
Vacca, Elisa
2013
Applied Numerical Mathematics

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.

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Type
research article
DOI
10.1016/j.apnum.2012.10.004
Author(s)
Bagnerini, Patrizia
Buffa, Annalisa  
Vacca, Elisa
Date Issued

2013

Published in
Applied Numerical Mathematics
Volume

65

Start page

63

End page

78

Editorial or Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
MNS  
Available on Infoscience
April 3, 2017
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/136246
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