Results 91 to 100 of about 26,359 (120)

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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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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The Ill-Posed Problem in DIC

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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ON ILL-POSED PROBLEMS

Russian Mathematical Surveys, 1976
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Ill-Posed Problems

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

1978
Abstract : Some examples of linear ill-posed problems in engineering are given and a general class of regularization methods for ill-posed linear operator equations is studied. Rates of convergence for the general method are estabished under various assumptions on the data. Applications are given to a number of iterative and noniterative regularization
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On the ill-posed analytic continuation problem: An order optimal regularization scheme

Applied Numerical Mathematics, 2021
Milad Karimi, Fridoun Moradlou, Mojtaba Hajipour   +2 more
exaly