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A curious property of oscillatory FEM solutions of one-dimensional convection-diffusion problems

Madden, NiallStynes, Martin — 2012

Applications of Mathematics 2012

Song, Yin and Zhang (Int. J. Numer. Anal. Model. 4: 127-140, 2007) discovered a remarkable property of oscillatory finite element solutions of one-dimensional convection-diffusion problems that leads to a novel numerical method for the solution of such problems. In the present paper this property is described using several figures, then a simple proof of the phenomenon is given which is much more intuitive than the technical analysis of Song et al.

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