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Finite element approximation of a sixth order nonlinear degenerate parabolic equation

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Barrett, J. W., Langdon, S. and Nurnberg, R. (2004) Finite element approximation of a sixth order nonlinear degenerate parabolic equation. Numerische Mathematik, 96 (3). pp. 401-434. ISSN 0945-3245

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To link to this article DOI: 10.1007/s00211-003-0479-4

Abstract/Summary

We consider a finite element approximation of the sixth order nonlinear degenerate parabolic equation ut = ?.( b(u)? 2u), where generically b(u) := |u|? for any given ? ? (0,?). In addition to showing well-posedness of our approximation, we prove convergence in space dimensions d ? 3. Furthermore an iterative scheme for solving the resulting nonlinear discrete system is analysed. Finally some numerical experiments in one and two space dimensions are presented.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical and Physical Sciences > Department of Mathematics and Statistics
ID Code:4966
Publisher:Springer Verlag

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