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Finite element approximation of a fourth order nonlinear degenerate parabolic equation |
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| Authors: | John W. Barrett James F. Blowey Harald Garcke |
| Affiliation: | Department of Mathematics, Imperial College, London, SW7 2BZ, UK, GB Department of Mathematical Sciences, University of Durham, DH1 3LE, UK, GB Institut für Angewandte Mathematik, Wegelerstra?e 6, D-53115 Bonn, Germany, DE |
| Abstract: | Summary. We consider a fully practical finite element approximation of the fourth order nonlinear degenerate parabolic equation where generically for any given . An iterative scheme for solving the resulting nonlinear discrete system is analysed. In addition to showing well-posedness of our approximation, we prove convergence in one space dimension. Finally some numerical experiments are presented. Received July 29, 1997 |
| Keywords: | Mathematics Subject Classification (1991):65M60 65M12 35K55 35K65 35K35 76D08 |
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