On the Approximate Solution of a Diffusion Problem by Galerkin Methods |
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Authors: | FAIRWEATHER G |
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Institution: |
Department of Mathematics, University of Kentucky Lexington, Kentucky 40506, U.S.A.
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Abstract: | Discrete-time Galerkin methods are considered for the approximatesolution of a parabolic initial boundary value problem whicharises, for example, in problems involving the diffusion ofa solute into a solid from a stirred solution of fixed volume.Optimal error estimates in the L2 and H1 norms are derived forthe Crank-Nicolson Galerkin method. For the one space variablecase optimal L estimates are also obtained. Results of numericalexperiments are presented and comparisons with finite differenceapproximations are made. |
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