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DC Field | Value | Language |
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dc.contributor.author | Bauermeister, N | - |
dc.contributor.author | Shaw, S | - |
dc.date.accessioned | 2009-03-19T13:50:08Z | - |
dc.date.available | 2009-03-19T13:50:08Z | - |
dc.date.issued | 2009 | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/3113 | - |
dc.description.abstract | The problem of nonlinear non-Fickian polymer diffusion as modelled by a diffusion equation with an adjoined spatially local evolution equation for a viscoelastic stress is considered (see, for example, Cohen, White & Witelski, SIAM J. Appl. Math. 55, pp. 348–368, 1995). We present numerical schemes based, spatially, on the Galerkin finite element method and, temporally, on the Crank-Nicolson method. Special attention is paid to linearising the discrete equations by extrapolating the value of the nonlinear term from previous time steps. Optimal a priori error estimates are given, based on the assumption that the exact solution possesses certain regularity properties, and numerical experiments are given to support these error estimates. | en |
dc.format.extent | 1180771 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Oxford University Press | en |
dc.relation.ispartofseries | IMA Journal of Numerical Analysis. In press. | - |
dc.title | Finite element approximation of non-Fickian polymer diffusion | en |
dc.type | Research Paper | en |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
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nonfick_norbert_2008.pdf | 1.15 MB | Adobe PDF | View/Open |
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