In this paper we provide the 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.
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Titolo: | Mesh generation and numerical analysis of a Galerkin method for hyghly conductive prefractal layers | |
Autori: | ||
Data di pubblicazione: | 2013 | |
Rivista: | ||
Abstract: | In this paper we provide the 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. | |
Handle: | http://hdl.handle.net/11567/539739 | |
Appare nelle tipologie: | 01.01 - Articolo su rivista |
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