Volume 33, Number 5, September October 1999
|Page(s)||895 - 922|
|Published online||15 August 2002|
Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem
Department of Mathematics, UMBC, Baltimore, MD 21250, USA.
2 Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221, USA. firstname.lastname@example.org.
3 Department of Mathematics, University of Maryland, College Park, MD 20742, USA. email@example.com.
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.