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08/14/2022
Resolution Guarantees for the Reconstruction of Inclusions in Linear Elasticity Based on Monotonicity Methods
We deal with the reconstruction of inclusions in elastic bodies based on...
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05/24/2021
Solving an inverse elliptic coefficient problem by convex non-linear semidefinite programming
Several applications in medical imaging and non-destructive material tes...
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05/05/2021
Shape Reconstruction in Linear Elasticity: One-step Linearization and Monotonicity-based Regularization
We deal with the shape reconstruction of inclusions in elastic bodies. T...
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03/01/2021
An introduction to finite element methods for inverse coefficient problems in elliptic PDEs
Several novel imaging and non-destructive testing technologies are based...
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02/17/2021
Multilevel Monte Carlo learning
In this work, we study the approximation of expected values of functiona...
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10/09/2020
Regularising linear inverse problems under unknown non-Gaussian white noise
We deal with the solution of a generic linear inverse problem in the Hil...
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03/05/2020
Shape Reconstruction in Linear Elasticity: Standard and Linearized Monotonicity Method
In this paper, we deal with the inverse problem of the shape reconstruct...
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07/05/2019
On stable invertibility and global Newton convergence for convex monotonic functions
We derive a simple criterion that ensures uniqueness, Lipschitz stabilit...
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06/26/2019