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

A. Kadir Aziz; Donald A. French; Soren Jensen; R. Bruce Kellogg

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 33, Issue: 5, page 895-922
- ISSN: 0764-583X

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topKadir 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 -

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