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.

EUDML-ID : urn:eudml:doc:287832
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Mots clés:

@article{702904,
     title = {A curious property of oscillatory FEM solutions of one-dimensional convection-diffusion problems},
     booktitle = {Applications of Mathematics 2012},
     series = {GDML\_Books},
     publisher = {Institute of Mathematics AS CR},
     address = {Prague},
     year = {2012},
     pages = {188-196},
     mrnumber = {MR3204411},
     zbl = {1313.65194},
     url = {http://dml.mathdoc.fr/item/702904}
}

Madden, Niall; Stynes, Martin. A curious property of oscillatory FEM solutions of one-dimensional convection-diffusion problems, dans Applications of Mathematics 2012, GDML_Books,  (2012), pp. 188-196. http://gdmltest.u-ga.fr/item/702904/