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dc.contributor.authorBauermeister, N-
dc.contributor.authorShaw, S-
dc.description.abstractThe 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.extent1180771 bytes-
dc.publisherOxford University Pressen
dc.relation.ispartofseriesIMA Journal of Numerical Analysis. In press.-
dc.titleFinite element approximation of non-Fickian polymer diffusionen
dc.typeResearch Paperen
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Dept of Mathematics Research Papers
Mathematical Sciences

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