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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