Results 11 to 20 of about 552,473 (239)
Error estimates for stabilized finite element methods applied to ill-posed problems [PDF]
, 2014 We propose an analysis for the stabilized finite element methods proposed in, E. Burman, Stabilized finite element methods for nonsymmetric, noncoercive, and ill-posed problems. Part I: Elliptic equations. SIAM J. Sci.
Burman, Erik
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Fractional regularization matrices for linear discrete ill-posed problems [PDF]
, 2015 The numerical solution of linear discrete ill-posed problems typically requires regularization. Two of the most popular regularization methods are due to Tikhonov and Lavrentiev. These methods require the choice of a regularization matrix. Common choices
Lothar Reichel +2 more
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A regularization method for ill-posed bilevel optimization problems [PDF]
, 2006 We present a regularization method to approach a solution of the pessimistic formulation of ill -posed bilevel problems . This allows to overcome the difficulty arising from the non uniqueness of the lower level problems solutions and responses. We prove
Abadie's +10 more
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A Modified Asymptotical Regularization of Nonlinear Ill-Posed Problems
Mathematics, 2019 In this paper, we investigate the continuous version of modified iterative Runge–Kutta-type methods for nonlinear inverse ill-posed problems proposed in a previous work.
Pornsarp Pornsawad +2 more
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Bayesian Posterior Contraction Rates for Linear Severely Ill-posed Inverse Problems [PDF]
, 2013 We consider a class of linear ill-posed inverse problems arising from inversion of a compact operator with singular values which decay exponentially to zero. We adopt a Bayesian approach, assuming a Gaussian prior on the unknown function.
Agapiou, Sergios +2 more
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Modelling and Simulation in Engineering, 2020 In many references, both the ill-posed and inverse boundary value problems are solved iteratively. The iterative procedures are based on firstly converting the problem into a well-posed one by assuming the missing boundary values.
Mohammed Hamaidi +3 more
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A Finite Volume Method to Solve the Ill-Posed Elliptic Problems
Mathematics, 2022 In this paper, we propose a finite volume element method of primal-dual type to solve the ill-posed elliptic problem, that is, the elliptic problem with lacking or overlapping boundary value condition.
Ying Sheng, Tie Zhang
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Mathematical Modelling and Analysis, 2002 We consider linear ill‐posed problems Au = ƒ with minimum‐norm solution u*. Instead of ƒ noisy data ƒδ are given satisfying ‖ƒδ — ƒ‖ ≤ δ with known noise level 5.
U. Hamarik, E. Avi, A. Ganina
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Minimax signal detection in ill-posed inverse problems
, 2012 Ill-posed inverse problems arise in various scientific fields. We consider the signal detection problem for mildly, severely and extremely ill-posed inverse problems with $l^q$-ellipsoids (bodies), $q\in(0,2]$, for Sobolev, analytic and generalized ...
Ingster, Yuri I. +2 more
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A unified approach for regularizing discretized linear ill‐posed problems
Mathematical Modelling and Analysis, 2009 In this paper we deal with regularization approaches for discretized linear ill‐posed problems in Hilbert spaces. As opposite to other contributions concerning this topic the smoothness of the unknown solution is measured with so‐called approximative ...
Torsten Hein
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