Identification of parameters in the 2-D IHCP

被引：9
|
作者：
Coles, C [1 ]
Murio, DA [1 ]
机构：
[1] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2000年 / 40卷 / 8-9期
关键词：
identification of parameters; mollification; finite differences; automatic filtering;
D O I：
10.1016/S0898-1221(00)85005-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a numerical marching scheme, based on mollification and the general cross validation methods, to determine the diffusivity coefficient, as well as the temperature and heat flux histories, in the two-dimensional inverse heat conduction problem when noisy data at the active boundary and the initial measured temperature distribution are given. No information about the quality and/or quantity of the noise is assumed. A proof of stability and convergence of the algorithm, together with several numerical examples, are provided. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：939 / 956
页数：18
相关论文
共 50 条
  • [1] Identification of source terms in 2-D IHCP
    Yi, Z
    Murio, DA
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (10-11) : 1517 - 1533
  • [2] Automatic numerical solution of generalized 2-D IHCP by discrete mollification
    Zhan, SH
    Coles, C
    Murio, DA
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (1-2) : 15 - 38
  • [3] Identification of parameters in one-dimensional IHCP
    Zhan, S
    Murio, DA
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 35 (03) : 1 - 16
  • [4] Statistical parameters identification for the heterogeneity description of 2-D aquifers
    Butera, I
    Tanda, MG
    [J]. COMPUTATIONAL METHODS IN CONTAMINATION AND REMEDIATION OF WATER RESOURCES: PROCEEDINGS OF 12TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL METHODS IN WATER RESOURCES, VOL 1, 1998, 12 : 477 - 484
  • [5] Source term identification in 1-D IHCP
    Yi, Z
    Murio, DA
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (12) : 1921 - 1933
  • [6] Numerical experiments in 2-D IHCP on bounded domains .1. The ''interior'' cube problem.
    Liu, Y
    Murio, DA
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 31 (01) : 15 - 32
  • [7] 2-D sinusoidal amplitude estimation with application to 2-D system identification
    Li, HB
    Sun, W
    Stoica, P
    Li, J
    [J]. 2001 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOLS I-VI, PROCEEDINGS: VOL I: SPEECH PROCESSING 1; VOL II: SPEECH PROCESSING 2 IND TECHNOL TRACK DESIGN & IMPLEMENTATION OF SIGNAL PROCESSING SYSTEMS NEURALNETWORKS FOR SIGNAL PROCESSING; VOL III: IMAGE & MULTIDIMENSIONAL SIGNAL PROCESSING MULTIMEDIA SIGNAL PROCESSING - VOL IV: SIGNAL PROCESSING FOR COMMUNICATIONS; VOL V: SIGNAL PROCESSING EDUCATION SENSOR ARRAY & MULTICHANNEL SIGNAL PROCESSING AUDIO & ELECTROACOUSTICS; VOL VI: SIGNAL PROCESSING THEORY & METHODS STUDENT FORUM, 2001, : 1921 - 1924
  • [8] 2-D or not 2-D?
    Rao, SS
    [J]. FORBES, 1999, 164 (12): : 234 - 234
  • [9] 2-D OR NOT 2-D - THAT IS THE QUESTION
    RAMACHANDRAN, VS
    PASHLER, H
    [J]. PERCEPTION, 1990, 19 (02) : 272 - 272
  • [10] 2-D OR NOT 2-D - THAT IS THE QUESTION
    RAMACHANDRAN, VS
    PASHLER, H
    PLUMMER, D
    [J]. BULLETIN OF THE PSYCHONOMIC SOCIETY, 1989, 27 (06) : 487 - 488
12345