Automatic numerical solution of generalized 2-D IHCP by discrete mollification

被引：1

作者：

Zhan, SH ^{[1
]}

Coles, C ^{[1
]}

Murio, DA ^{[1
]}

机构：

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2001年 / 41卷 / 1-2期

关键词：

generalized 2-D IHCP; mollification; finite differences; automatic filtering;

D O I：

10.1016/S0898-1221(01)85003-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A space marching scheme, based on the mollification method and generalized cross validation, is described to numerically recover the temperature and heat flux histories in the two-dimensional generalized inverse heat conduction problem. A proof of stability and convergence of this algorithm is provided, together with several numerical examples of interest. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：15 / 38

页数：24

共 50 条

[1] Numerical solution of generalized IHCP by discrete mollification
Mejia, CE
Murio, DA
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 32 (02) : 33 - 50
[2] Discrete mollification and automatic numerical differentiation
Murio, DA
Mejia, CE
Zhan, S
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 35 (05) : 1 - 16
[3] AUTOMATIC NUMERICAL DIFFERENTIATION BY DISCRETE MOLLIFICATION
MURIO, DA
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1987, 13 (04) : 381 - 386
[4] Identification of parameters in the 2-D IHCP
Coles, C
Murio, DA
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 40 (8-9) : 939 - 956
[5] Identification of source terms in 2-D IHCP
Yi, Z
Murio, DA
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (10-11) : 1517 - 1533
[6] A generalized Kalman filter for 2-D discrete systems
Zou, Y
Sheng, M
Zhong, NF
Xu, SY
[J]. 2004 47TH MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL II, CONFERENCE PROCEEDINGS, 2004, : 545 - 548
[7] A Two Dimensional Discrete Mollification Operator and the Numerical Solution of an Inverse Source Problem
Echeverry, Manuel D.
Mejia, Carlos E.
[J]. AXIOMS, 2018, 7 (04):
[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] Generalized 2-D continuous-discrete linear systems with delays
Kaczorek, T
[J]. SYSTEM STRUCTURE AND CONTROL 1995, 1996, : 441 - 446
[10] PARAMETER SELECTION BY DISCRETE MOLLIFICATION AND THE NUMERICAL-SOLUTION OF THE INVERSE HEAT-CONDUCTION PROBLEM
MURIO, DA
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1988, 22 (01) : 25 - 34

← 1 2 3 4 5 →