The body force in a three-dimensional Lame system identification and regularization

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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

Trong, DD, Phan, TN & Thuc, PT 2012, 'The body force in a three-dimensional Lame system identification and regularization', Inverse Problems in Science and Engineering, bind 20, nr. 4, s. 517-532. https://doi.org/10.1080/17415977.2011.638068

APA

Trong, D. D., Phan, T. N., & Thuc, P. T. (2012). The body force in a three-dimensional Lame system identification and regularization. Inverse Problems in Science and Engineering, 20(4), 517-532. https://doi.org/10.1080/17415977.2011.638068

Vancouver

Trong DD, Phan TN, Thuc PT. The body force in a three-dimensional Lame system identification and regularization. Inverse Problems in Science and Engineering. 2012;20(4):517-532. https://doi.org/10.1080/17415977.2011.638068

Author

Trong, Dang Duc ; Phan, Thanh Nam ; Thuc, Phung Trong . / The body force in a three-dimensional Lame system identification and regularization. I: Inverse Problems in Science and Engineering. 2012 ; Bind 20, Nr. 4. s. 517-532.

Bibtex

@article{6b856b57ffc74179a32a1a21b3d72ea2,

title = "The body force in a three-dimensional Lame system identification and regularization",

abstract = "Let a three-dimensional isotropic elastic body be described by the Lam{\'e} 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.",

author = "Trong, {Dang Duc} and Phan, {Thanh Nam} and Thuc, {Phung Trong}",

year = "2012",

doi = "10.1080/17415977.2011.638068",

language = "English",

volume = "20",

pages = "517--532",

journal = "Inverse Problems in Science and Engineering",

issn = "1741-5977",

publisher = "Taylor & Francis",

number = "4",

}

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