The body force in a three-dimensional Lame system identification and regularization
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Standard
The body force in a three-dimensional Lame system identification and regularization. / Trong, Dang Duc ; Phan, Thanh Nam; Thuc, Phung Trong .
I: Inverse Problems in Science and Engineering, Bind 20, Nr. 4, 2012, s. 517-532.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Harvard
APA
Vancouver
Author
Bibtex
}
RIS
TY - JOUR
T1 - The body force in a three-dimensional Lame system identification and regularization
AU - Trong, Dang Duc
AU - Phan, Thanh Nam
AU - Thuc, Phung Trong
PY - 2012
Y1 - 2012
N2 - Let a three-dimensional isotropic elastic body be described by the Lamé system with the body force of the form F(x, t) = (t)f (x), where is known. We consider the problem of determining the unknown spatial term f (x) of the body force when the surface stress history is given as the overdetermination. This inverse problem is ill-posed. Using the interpolation method and truncated Fourier series, we construct a regularized solution from approximate data and provide explicit error estimates.
AB - Let a three-dimensional isotropic elastic body be described by the Lamé system with the body force of the form F(x, t) = (t)f (x), where is known. We consider the problem of determining the unknown spatial term f (x) of the body force when the surface stress history is given as the overdetermination. This inverse problem is ill-posed. Using the interpolation method and truncated Fourier series, we construct a regularized solution from approximate data and provide explicit error estimates.
U2 - 10.1080/17415977.2011.638068
DO - 10.1080/17415977.2011.638068
M3 - Journal article
VL - 20
SP - 517
EP - 532
JO - Inverse Problems in Science and Engineering
JF - Inverse Problems in Science and Engineering
SN - 1741-5977
IS - 4
ER -
ID: 49697012