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Items for "regularization"

On the analysis of distance functions for linear ill-posed problems with an application to the integration operator in L²

The paper is devoted to the analysis of linear ill-posed operator equations Ax = y with solution x₀ in a Hilbert space setting...

Keywords: linear ill-posed problem, regularization, distance function, approximate source condition, integral operator, eigenvalue problem

04/2007 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter

Numerical solution of inverse heat conduction problems in two spatial dimensions

Inverse heat conduction problems (IHCPs) have been extensively studied over the last 50 years. They have numerous applications in many branches of science and technology...

Keywords: inverse heat conduction problem, regularization, noncharacteristic Cauchy problem for parabolic equations, finite element method

05/2007 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter

Regularization by dynamic programming

We investigate continuous regularization methods for linear inverse problems of static and dynamic type...

Keywords: regularization, dynamic programming, inverse problems, HamiltonJacobi equation, electrical impedance tomography, dynamic inverse problems

06/2007 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter

Physical regularization for inverse problems of stationary heat conduction

In the paper, physical foundation of a functional for solving discontinuous stationary heat conduction problems with a kind of regularisation parameter has been presented...

Keywords: Linear ill-posed problems, regularization, Trefftz method, non-continuous FEM, energy dissipation minimization, entropy production minimization

07/2007 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter

Surrogate functionals and thresholding for inverse interface problems

We propose a new algorithm for computing regularized solutions to inverse problems where the unknown functions is a characteristic function and where the forward operator is linear. Our approach can be seen as an alternative to the level-set method and is based on an efficient computation of minimizers for a Tikhonov functional...

Keywords: inverse problem, interface problem, regularization, thresholding, bounded variation, exact relaxation, surrogate functional, level set method, topological derivative

07/2007 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter

Relative computational efficiency of iteratively regularized methods

The estimates for the number of operations needed to implement two different iteratively regularized Gauss–Newton methods as well as the iteratively regularized gradient scheme are given...

Keywords: regularization, Frchet and Gteaux derivatives, GaussNewton method, optical tomography