Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem

Kadir Aziz, A., et al. "Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem." ESAIM: Mathematical Modelling and Numerical Analysis 33.5 (2010): 895-922. <http://eudml.org/doc/197568>.

@article{KadirAziz2010,
abstract = { 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. },
author = {Kadir Aziz, A., French, Donald A., Jensen, Soren, Bruce Kellogg, R.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Forward-backward; heat equation; degenerate parabolic problem; Brownian motion; electron and neutron scattering; separated flow boundary layers.; backward-forward parabolic equations; finite element Galerkin methods; convergence; numerical examples},
language = {eng},
month = {3},
number = {5},
pages = {895-922},
publisher = {EDP Sciences},
title = {Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem},
url = {http://eudml.org/doc/197568},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Kadir Aziz, A.
AU - French, Donald A.
AU - Jensen, Soren
AU - Bruce Kellogg, R.
TI - Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 5
SP - 895
EP - 922
AB - 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.
LA - eng
KW - Forward-backward; heat equation; degenerate parabolic problem; Brownian motion; electron and neutron scattering; separated flow boundary layers.; backward-forward parabolic equations; finite element Galerkin methods; convergence; numerical examples
UR - http://eudml.org/doc/197568
ER -