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Mathematical Methods in Elasticity Imaging

1, 2015

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A direct linear inversion for discontinuous elastic parameters recovery from internal displacement information only

Numerische Mathematik, 2021, Vol.147 (1), p.189-226

2021

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Numerical approximation of the Steiner problem in dimension 2 and 3

Mathematics of computation, 2020-01, Vol.89 (321), p.1-43

2020

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Localization, Stability, and Resolution of Topological Derivative Based Imaging Functionals in Elasticity

SIAM journal on imaging sciences, 2013-01, Vol.6 (4), p.2174-2212

2013

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Shape sensitivity analysis of an elastic contact problem: Convergence of the Nitsche based finite element approximation

Nonlinear analysis: real world applications, 2023-08, Vol.72, p.103836, Article 103836

2023

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How to position sensors in thermo-acoustic tomography

Inverse problems, 2019-06, Vol.35 (7), p.74003

2019

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Consistency result for a non monotone scheme for anisotropic mean curvature flow

Interfaces and free boundaries, 2012-01, Vol.14 (1), p.1-35

2012

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A time reversal algorithm in acoustic media with Dirac measure approximations

Inverse problems, 2018-04, Vol.34 (4), p.45004

2018

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Phase-field modelling and computing for a large number of phases

ESAIM: Mathematical Modelling and Numerical Analysis, 2019-05, Vol.53 (3), p.805-832

2019

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Learning phase field mean curvature flows with neural networks

Journal of computational physics, 2022-12, Vol.470, p.111579, Article 111579

2022

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Approximation of multiphase mean curvature flows with arbitrary nonnegative mobilities

Mathematical methods in the applied sciences, 2023-06, Vol.46 (9), p.11262-11282

2023

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A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics

Interfaces and free boundaries, 2017-01, Vol.19 (2), p.141-182

2017

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Stability for Finite Element Discretization of Some Inverse Parameter Problems from Internal Data: Application to Elastography

SIAM journal on imaging sciences, 2023-01, Vol.16 (1), p.340-367

2023

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A mobility-SAV approach for a Cahn-Hilliard equation with degenerate mobilities

Discrete and continuous dynamical systems. Series S, 2024-01, Vol.17 (1), p.131-159

2024

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Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities

Mathematical models & methods in applied sciences, 2022-04, Vol.32 (4), p.793-829

2022

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Mathematical Methods in Elasticity Imaging

2015

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Multiphase mean curvature flows with high mobility contrasts: A phase-field approach, with applications to nanowires

Journal of computational physics, 2018-07, Vol.365, p.324-349

2018

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Tomographic reconstruction from Poisson distributed data: a fast and convergent EM-TV dual approach

Numerical algorithms, 2023-10, Vol.94 (2), p.701-731

2023

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Phase-field models for the approximation of the willmore functional and flow

ESAIM. Proceedings and surveys, 2014-09, Vol.45, p.118-127

2014

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Reconstructing the Spatial Distribution of the Relative Shear Modulus in Quasi-static Ultrasound Elastography: Plane Stress Analysis

Ultrasound in medicine & biology, 2023-03, Vol.49 (3), p.710-722

2023

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A modified phase field approximation for mean curvature flow with conservation of the volume

Mathematical methods in the applied sciences, 2011-07, Vol.34 (10), p.1157-1180

2011

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A time reversal algorithm in acoustic media with Dirac measure approximations

Inverse problems, 2018-04, Vol.34 (4)

2018

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Shape optimization of a linearly elastic rolling structure under unilateral contact using Nitsche’s method and cut finite elements

Computational mechanics, 2022-07, Vol.70 (1), p.205-224

2022

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Phase-field approximations of the Willmore functional and flow

Numerische Mathematik, 2015-09, Vol.131 (1), p.115-171

2015

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A multiphase Cahn–Hilliard system with mobilities and the numerical simulation of dewetting

ESAIM: Mathematical Modelling and Numerical Analysis, 2023-05, Vol.57 (3), p.1473-1509

2023

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Mathematical Methods in Elasticity Imaging

A direct linear inversion for discontinuous elastic parameters recovery from internal displacement information only

Numerical approximation of the Steiner problem in dimension 2 and 3

Localization, Stability, and Resolution of Topological Derivative Based Imaging Functionals in Elasticity

Shape sensitivity analysis of an elastic contact problem: Convergence of the Nitsche based finite element approximation

How to position sensors in thermo-acoustic tomography

Consistency result for a non monotone scheme for anisotropic mean curvature flow

A time reversal algorithm in acoustic media with Dirac measure approximations

Phase-field modelling and computing for a large number of phases

Learning phase field mean curvature flows with neural networks

Approximation of multiphase mean curvature flows with arbitrary nonnegative mobilities

A new phase field model for inhomogeneous minimal partitions, and applications to droplets dynamics

Stability for Finite Element Discretization of Some Inverse Parameter Problems from Internal Data: Application to Elastography

A mobility-SAV approach for a Cahn-Hilliard equation with degenerate mobilities

Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities

Mathematical Methods in Elasticity Imaging

Multiphase mean curvature flows with high mobility contrasts: A phase-field approach, with applications to nanowires

Tomographic reconstruction from Poisson distributed data: a fast and convergent EM-TV dual approach

Phase-field models for the approximation of the willmore functional and flow

Reconstructing the Spatial Distribution of the Relative Shear Modulus in Quasi-static Ultrasound Elastography: Plane Stress Analysis

A modified phase field approximation for mean curvature flow with conservation of the volume

A time reversal algorithm in acoustic media with Dirac measure approximations

Shape optimization of a linearly elastic rolling structure under unilateral contact using Nitsche’s method and cut finite elements

Phase-field approximations of the Willmore functional and flow

A multiphase Cahn–Hilliard system with mobilities and the numerical simulation of dewetting

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