Results 161 to 170 of about 5,632,119 (202)

The Ill-Posed Problem in DIC

2017
The contribution of our paper is to present a mixed finite element method for estimation of the velocity in the optical flow constraint, i.e., an advection equation. The resulting inverse problem is well-known to be undetermined because the velocity vector cannot be recovered from the scalar field advected unless further restrictions on the flow, or ...
Rich Lehoucq, Dan Turner
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A Regularization Parameter in Discrete Ill-Posed Problems

SIAM Journal on Scientific Computing, 1996
The author considers the Tikhonov regularization method for the discrete ill-posed problem of minimizing \[ J_\alpha(u)=|Ku-f|^2+\alpha|u|^2, \] where \(K\) is an \(m\times n\) matrix with a large condition number, \(m\geq n\), and \(\alpha>0\). The Euclidean norm is used.
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Spectroscopy; An Ill-Posed Problem

SPIE Proceedings, 1985
Spectroscopy can be described as an inversion technique for the retrieval from measured data of an unknown spectral distribution. The implications which follow from this general approach are discussed. It turns out that spectroscopy belongs to the category of ill-posed problems that have more degrees of freedom than data.
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Ill-posed problems in rheology

Rheologica Acta, 1989
Experimental data are always noisy and often incomplete. This leads to ambiguities if one wants to infer from the data some functions, which are related to the measured quantity through an integral equation of the first kind. In rheology many of such so-called ill-posed problems appear.
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Ill-posed problems in geomechanics

Journal of Mining Science, 2011
Any inverse problem requires that its ill-posedness be overcome through regularization or derivation of precise equations. On the basis of singular integral equations, connecting boundary values of stresses and displacements, the author proposes convergence method and its numerical algorithm in terms of a piecewise-homogeneous domain (pillar) where ...
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Ill-Posed Problems and Regularization

1998
Click on the DOI link to access the article (may not be free). ; In this chapter, we consider the equation.
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Ill-posed problems in mechanics

Mechanics of Solids, 2016
The notion of ill-posed initial and boundary value problems for partial differential equations was introduced by Hadamard, who also presented the first example of an ill-posed problem for a specific partial differential equation. At the same time, there are numerous examples of ill-posed problems in any field of mechanics.
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Ill-Posed Problems of Geomechanics

Journal of Mining Science, 2018
The classical solution of elasticity problem on deformation of a plane weakened by a mathematical cut under wedging by constant forces is analyzed. The ill-posedness of the classical failure mechanics statements for problems with angular points is demonstrated.
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Ill-Posed Problems

International Journal of Mathematics Trends and Technology, 2019
K Saranya, Ms.N Rajakumari
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Learning, Regularization and Ill-Posed Inverse Problems.

2004
Many works have shown that strong connections relate learning from examples to regularization techniques for ill-posed inverse problems. Nevertheless by now there was no formal evidence neither that learning from examples could be seen as an inverse problem nor that theoretical results in learning theory could be independently derived using tools from ...
ROSASCO, LORENZO, A. CAPONNETTO, DE VITO, ERNESTO, U. DE GIOVANNINI, ODONE, FRANCESCA   +4 more
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