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

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 - 2012/6

Y1 - 2012/6

N2 - Let a three-dimensional isotropic elastic body be described by the Lamé system with the body force of the form F(x, t) = φ(t)f (x), where φ 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) = φ(t)f (x), where φ 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

SN - 1741-5977

VL - 20

SP - 517

EP - 532

JO - Inverse Problems in Science and Engineering

JF - Inverse Problems in Science and Engineering

IS - 4

ER -