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

被引：0
|
作者：
Aziz, AK [1 ]
French, DA
Jensen, S
Kellogg, RB
机构：
[1] Univ Maryland Baltimore Cty, Dept Math, Baltimore, MD 21250 USA
[2] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA
[3] Univ Maryland, Dept Math, College Pk, MD 20742 USA
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 1999年 / 33卷 / 05期
关键词：
forward-backward; heat equation; degenerate parabolic problem; Brownian motion; electron and neutron scattering; separated flow boundary layers;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. AMS Subject Classification. 65M60, 65N30, 65N15, 76D15, 76M10.
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页码：895 / 922
页数：28
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