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

- Applications of Mathematics 2012, Publisher: Institute of Mathematics AS CR(Prague), page 188-196

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topMadden, Niall, and Stynes, Martin. "A curious property of oscillatory FEM solutions of one-dimensional convection-diffusion problems." Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012. 188-196. <http://eudml.org/doc/287832>.

@inProceedings{Madden2012,

abstract = {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.},

author = {Madden, Niall, Stynes, Martin},

booktitle = {Applications of Mathematics 2012},

keywords = {piecewise linear function; Galerkin finite element method; numerical examples; one-dimensional convection-diffusion problems},

location = {Prague},

pages = {188-196},

publisher = {Institute of Mathematics AS CR},

title = {A curious property of oscillatory FEM solutions of one-dimensional convection-diffusion problems},

url = {http://eudml.org/doc/287832},

year = {2012},

}

TY - CLSWK

AU - Madden, Niall

AU - Stynes, Martin

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

T2 - Applications of Mathematics 2012

PY - 2012

CY - Prague

PB - Institute of Mathematics AS CR

SP - 188

EP - 196

AB - 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.

KW - piecewise linear function; Galerkin finite element method; numerical examples; one-dimensional convection-diffusion problems

UR - http://eudml.org/doc/287832

ER -

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