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.
引用
收藏
页码：895 / 922
页数：28
相关论文
共 50 条
  • [1] A new pseudospectral approximation for the forward-backward heat equation
    Ye, XD
    Jiang, JS
    ACTA MATHEMATICA SCIENTIA, 1996, 16 (02) : 121 - 128
  • [2] STATISTICAL ANALYSIS OF THE FINITE SAMPLE FORWARD-BACKWARD MVDR BEAMFORMER
    Zhang, Lei
    Liu, Wei
    Yu, Lei
    2011 IEEE STATISTICAL SIGNAL PROCESSING WORKSHOP (SSP), 2011, : 421 - 424
  • [3] Two-phase Entropy Solutions of a Forward-Backward Parabolic Equation
    Mascia, Corrado
    Terracina, Andrea
    Tesei, Alberto
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2009, 194 (03) : 887 - 925
  • [4] LONG-TIME BEHAVIOR OF SOLUTIONS TO A CLASS OF FORWARD-BACKWARD PARABOLIC EQUATIONS
    Smarrazzo, Flavia
    Tesei, Alberto
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2010, 42 (03) : 1046 - 1093
  • [5] Numerical approximation of a non-linear source term for an inverse parabolic problem
    Shidfar, Abdollah
    Jazbi, Batool
    Alinejadmofrad, Mohammad
    COMPUTATIONAL & APPLIED MATHEMATICS, 2015, 34 (01): : 363 - 373
  • [6] Numerical solution of forward and backward problem for 2-D heat conduction equation
    Liu, JJ
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 145 (02) : 459 - 482
  • [7] Numerical algorithms for a sideways parabolic problem with variable coefficients
    Yu, Yue
    Xu, Dinghua
    Hon, Y. C.
    APPLICABLE ANALYSIS, 2016, 95 (04) : 874 - 901
  • [8] Adaptive numerical schemes for a parabolic problem with blow-up
    Ferreira, R
    Groisman, P
    Rossi, JD
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2003, 23 (03) : 439 - 463
  • [9] NUMERICAL ANALYSIS OF SAKIADIS FLOW PROBLEM CONSIDERING MAXWELL NANOFLUID
    Mustafa, Meraj
    Khan, Junaid Ahmad
    THERMAL SCIENCE, 2017, 21 (06): : 2747 - 2756
  • [10] A Posteriori Error Analysis of Two-Step Backward Differentiation Formula Finite Element Approximation for Parabolic Interface Problems
    Sen Gupta, Jhuma
    Sinha, Rajen K.
    Reddy, G. M. M.
    Jain, Jinank
    JOURNAL OF SCIENTIFIC COMPUTING, 2016, 69 (01) : 406 - 429
12345