Stability and convergence of the spectral Lagrange-Galerkin method for mixed periodic/non-periodic convection-dominated diffusion problems |
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| Authors: | Baker, MD Suli, E Ware, AF |
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| Affiliation: | A1 Oxford University Computing Laboratory, Numerical Analysis Group, Wolfson Building, Parks Road, Oxford, OX1 3QD, UK A2 Department of Mathematics and Statistics, University of Calgary, Math Science Building, 2500 University Drive NW, Calgary, Alberta, Canada T2N 1N4 |
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| Abstract: | We present a convergence analysis of the spectral Lagrange-Galerkinmethod for mixed periodic/non-periodic convection-diffusionproblems. The scheme is unconditionally stable, independentof the diffusion coefficient, even in the case when numericalquadrature is used. The theoretical predictions are illustratedby a series of numerical experiments. For the periodic case,our results present a significant improvement on those givenby Süli & Ware (1991) SIAM J. Numer.Anal.28, 423-445). |
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