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