96-10
Nonconforming Streamline-Diffusion-Finite-Element-Methods for Convection-Diffusion Problems
by John, V.; Maubach, J.M.; Tobiska, L.
Preprint series: 96-10, Preprints
The paper is published: Numer. Math. 78 (1997), no. 2, 165-188
- MSC:
- 65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
- 65N15 Error bounds
Abstract: We analyze nonconforming finite element approximations of stream-line-diffusion type for solving convection-diffusion problems. Both thetheoretical and numerical investigations show that additional jumpterms have to be added in the nonconforming case in order to getthe same O(h k+1=2 ) order of convergence in L 2 as in the conformingcase for convection dominated problems. A rigorous error analysissupported by numerical experiments is given.
Keywords: Convection--diffusion equations, streamline--diffusionfinite element method, order of convergence
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