Sign in
Author
|
Conference
|
Journal
|
Organization
|
Year
|
DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Keywords
(2)
Heat Equation
Inverse Problem
Subscribe
Academic
Publications
Reconstruction of an unknown boundary portion from Cauchy data in n dimensions
Reconstruction of an unknown boundary portion from Cauchy data in n dimensions,10.1088/0266-5611/21/1/015,Inverse Problems,Kurt Bryan,Lester Caudill
Edit
Reconstruction of an unknown boundary portion from Cauchy data in n dimensions
(
Citations: 12
)
BibTex
|
RIS
|
RefWorks
Download
Kurt Bryan
,
Lester Caudill
We consider the
inverse problem
of determining the shape of some inaccessible portion of the boundary of a region in n dimensions from Cauchy data for the
heat equation
on an accessible portion of the boundary. The
inverse problem
is quite ill-posed and nonlinear. We develop a Newton-like algorithm for solving the problem, with a simple and efficient means for computing the required derivatives, develop methods for regularizing the process, and provide computational examples.
Journal:
Inverse Problems - INVERSE PROBL
, vol. 21, no. 1, pp. 239-255, 2005
DOI:
10.1088/0266-5611/21/1/015
Cumulative
Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
(
dx.doi.org
)
(
adsabs.harvard.edu
)
Citation Context
(5)
...Recently, Bryan and Caudill also considered the inverse Cauchy problem in n dimensions and develop a Newton-like algorithm [
7
]...
Xiaoyi Hu
,
et al.
Numerical method for the inverse heat transfer problem in composite ma...
...
17
) and for constructing algorithms (
9
,
18
and others)...
P. Bison
,
et al.
Domain derivative approach to active infrared thermography
...Recently, Bryan and Caudill also considered the inverse Cauchy problem in n dimensions and developed a Newton-like algorithm (see [
4
])...
Xiaoyi Hu
,
et al.
Determination of unknown boundary in the composite materials with Stef...
...In many applications I (t) represents: (i) the boundary of a cavity or a corroded part of (t), [21]- [
28
], [47], [48], [72], [76], [115], [138], [143] or (ii) a privileged isothermal surface, such as a solidification front of (t), that is not accessible to direct inspection, [13], [19], [20], [39], [55], [71], [117], [129], [131]...
...The issue of numerical reconstruction of the unknown boundaries is studied in [21], [22], [24], [25], [27], [
28
], [42], [43]...
Sergio Vessella
.
TOPICAL REVIEW: Quantitative estimates of unique continuation for para...
...Using techniques similar to those in [
3
] it can be shown that knowledge of g and u on any open portion of @› over any time range t1 < t < t2 uniquely determines the interior void D. Indeed, such measurements uniquely determine any collection of interior voids...
James Preciado
,
et al.
Utilizing Thermal Testing for Recovering Voids in Two-Dimensional Regi...
Sort by:
Citations
(12)
Numerical method for the inverse heat transfer problem in composite materials with Stefan-Boltzmann conditions
(
Citations: 2
)
Xiaoyi Hu
,
Xiang Xu
,
Wenbin Chen
Journal:
Advances in Computational Mathematics - Adv. Comput. Math.
, vol. 33, no. 4, pp. 471-489, 2010
Unique determination of unknown boundaries in an elastic plate by one measurement
(
Citations: 2
)
Antonino Morassi
,
Edi Rosset
Journal:
Comptes Rendus Mecanique - C R MEC
, vol. 338, no. 7, pp. 450-460, 2010
Uniqueness of moving boundary for a heat conduction problem with nonlinear interface conditions
(
Citations: 1
)
T. Wei
Journal:
Applied Mathematics Letters
, vol. 23, no. 5, pp. 600-604, 2010
Identification of a moving boundary for a heat conduction problem in a multilayer medium
(
Citations: 1
)
Y. S. LiT
,
T. Wei
Journal:
Heat and Mass Transfer - HEAT MASS TRANSFER
, vol. 46, no. 7, pp. 779-789, 2010
Domain derivative approach to active infrared thermography
P. Bison
,
M. Ceseri
,
D. Fasino
,
G. Inglese
Journal:
Inverse Problems in Science and Engineering - INVERSE PROBL SCI ENG
, vol. 18, no. 7, pp. 873-889, 2010