| Issue |
ESAIM: M2AN
Volume 33, Number 5, September October 1999
|
|
|---|---|---|
| Page(s) | 895 - 922 | |
| DOI | https://doi.org/10.1051/m2an:1999125 | |
| Published online | 15 August 2002 | |
Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem
1
Department of Mathematics, UMBC, Baltimore, MD 21250, USA.
aziz@math.umbc.edu.
2
Department of Mathematical Sciences, University of Cincinnati, Cincinnati,
OH 45221, USA. french@math.uc.edu.
3
Department of Mathematics, University of Maryland, College Park,
MD 20742, USA. kellogg@ipst.umd.edu.
Received:
28
July
1997
Revised:
30
June
1998
We consider the analysis and numerical solution of a forward-backward boundary value problem. We provide some motivation, prove existence and uniqueness in a function class especially geared to the problem at hand, provide various energy estimates, prove a priori error estimates for the Galerkin method, and show the results of some numerical computations.
Mathematics Subject Classification: 65M60 / 65N30 / 65N15 / 76D15 / 76M10
Key words: Forward-backward / heat equation / degenerate parabolic problem / Brownian motion / electron and neutron scattering / separated flow boundary layers.
© EDP Sciences, SMAI, 1999
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