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A spectral Lagrange—Galerkin method for convection-dominated diffusion problems

✍ Scribed by Antony Ware

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
405 KB
Volume
116
Category
Article
ISSN
0045-7825

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✦ Synopsis

The spectral Lagrange-Galerkin method is a numerical technique for time-dependent convection-diffusion problems based on combining a Lagrangian formulation of the equations with the spectral method. The resulting scheme can be shown to be unconditionally stable for linear advection-diffusion equations, and optimal convergence rates may be obtained. Both the spectral accuracy and the efficiency of the scheme are examined theoretically and by various numerical experiments, and extensions of the method to give high accuracy in time are presented.

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