Stability and convergence of the spectral Lagrange-Galerkin method for mixed periodic/non-periodic convection-dominated di usion problems
نویسنده
چکیده
We present a convergence analysis of the spectral Lagrange-Galerkin method for mixed periodic/non-periodic convection-diiusion problems. The scheme is unconditionally stable, independent of the diiusion coeecient, even in the case when numerical quadrature is used. The theoretical predictions are illustrated by a series of numerical experiments. For the periodic case, our results present a signiicant improvement on those given
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