Identification of source terms in 2-D IHCP

被引：32

作者：

Yi, Z ^{[1
]}

Murio, DA ^{[1
]}

机构：

[1] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 47卷 / 10-11期

关键词：

discrete mollification; identification of source terms; finite differences; space marching schemes; parabolic equations; IHCP;

D O I：

10.1016/j.camwa.2004.06.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a stable numerical space marching scheme based on discrete mollification-implemented as an automatic adaptive filter-for the approximate identification of temperature, temperature gradient, and source terms in the two-dimensional inverse heat conduction problem (IHCP). The stability and error analysis of the algorithm, together with some numerical examples, are provided. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1517 / 1533

页数：17

共 50 条

[1] Identification of parameters in the 2-D IHCP
Coles, C
Murio, DA
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 40 (8-9) : 939 - 956
[2] Source term identification in 1-D IHCP
Yi, Z
Murio, DA
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (12) : 1921 - 1933
[3] 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
[4] Well-posedness for the 2-D damped wave equations with exponential source terms
Han, Xiaosen
Wang, Mingxin
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (17) : 2087 - 2100
[5] Simultaneous space diffusivity and source term reconstruction in 2D IHCP
Coles, C
Murio, DA
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 42 (12) : 1549 - 1564
[6] Solution of the 2-D shallow water equations with source terms in surface elevation splitting form
Ma, Dong-Jun
Sun, Dejun
Yin, Xie-Yuan
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2007, 55 (05) : 431 - 454
[7] Identification of the unknown heat source terms in a 2D parabolic equation
Huntul, M. J.
[J]. JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2021, 33 (06)
[8] 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
[9] 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
[10] Influence of source on 2-D site effects
Triantafyllidis, P
Hatzidimitriou, PM
Suhadolc, P
[J]. GEOPHYSICAL RESEARCH LETTERS, 2002, 29 (06) : 13 - 1

← 1 2 3 4 5 →